TS Inter 1st Year Botany Notes

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TS Intermediate 1st Year Botany Notes

TS Inter 1st Year Botany Weightage Blue Print

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TS Inter 1st Year Maths 1A Formulas PDF Download

Here we have created a list of Telangana TS Inter 1st Year Maths 1A Formulas PDF Download for your reference to solve all important mathematical operations and questions. The importance of learning Maths 1A Formulas is that it helps us to solve problems easily. Use these TS Intermediate 1st Year Maths 1A Formulas to solve problems creatively and you will automatically see an improvement in your mathematical skills.

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TS Intermediate 1st Year Maths 1A Formulas PDF Download

Here is a list of maths formulas for TS Inter 1st Year Maths 1A subject.

  1. Maths 1A Functions Formulas
  2. Maths 1A Mathematical Induction Formulas
  3. Maths 1A Matrices Formulas
  4. Maths 1A Addition of Vectors Formulas
  5. Maths 1A Products of Vectors Formulas
  6. Maths 1A Trigonometric Ratios up to Transformations Formulas
  7. Maths 1A Trigonometric Equations Formulas
  8. Maths 1A Inverse Trigonometric Functions Formulas
  9. Maths 1A Hyperbolic Functions Formulas
  10. Maths 1A Properties of Triangles Formulas

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TS Inter 1st Year Maths 1B Formulas PDF Download

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TS Intermediate 1st Year Maths 1B Formulas PDF Download

The list of formulas are provided here for TS Inter 1st Year Maths 1B subject.

  1. Maths 1B Locus Formulas
  2. Maths 1B Transformation of Axes Formulas
  3. Maths 1B The Straight Lines Formulas
  4. Maths 1B Pair of Straight Lines Formulas
  5. Maths 1B Three Dimensional Coordinates Formulas
  6. Maths 1B Direction Cosines and Direction Ratios Formulas
  7. Maths 1B The Plane Formulas
  8. Maths 1B Limits and Continuity Formulas
  9. Maths 1B Differentiation Formulas
  10. Maths 1B Applications of Derivatives Formulas

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TS Inter 1st Year Study Material Telangana | TS Intermediate 1st Year Textbook Solutions Pdf

Here students will find Telangana TSBIE State Board Syllabus TS Intermediate Inter 1st Year Study Material Textbook Solutions Questions and Answers PDF Free Download in English Medium and Telugu Medium according to the latest exam curriculum. Access the TS Board Solutions that are solved by our subject experts. The curriculum has been designed in such a way that it helps them to grasp the concepts of the subject. These TS Intermediate 1st Year Textbook Solutions will prove to be useful study tools during exam preparation.

TS Intermediate 1st Year Study Material Pdf Download | TS Inter 1st Year Textbook Solutions Telangana

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TS Inter 1st Year Study Material Pdf

TS Inter 1st Year Important Questions

  • TS Inter 1st Year Maths 1A Important Questions
  • TS Inter 1st Year Maths 1B Important Questions
  • TS Inter 1st Year Physics Important Questions
  • TS Inter 1st Year Chemistry Important Questions
  • TS Inter 1st Year Botany Important Questions
  • TS Inter 1st Year Zoology Important Questions
  • TS Inter 1st Year Political Science Important Questions
  • TS Inter 1st Year Commerce Important Questions
  • TS Inter 1st Year Accountancy Important Questions
  • TS Inter 1st Year Economics Important Questions

TS Inter 1st Year Notes

We hope that these Telangana TS Intermediate Inter 1st Year Textbook Solutions Study Material PDF Free Download in English Medium and Telugu Medium help the student to come out successful with flying colors in the examination. This TS Inter 1st Year Study Material will help students to gain the right knowledge to tackle any type of questions that can be asked during the exams.

TS Inter 1st Year Economics Study Material Telangana | TS Intermediate 1st Year Economics Textbook Solutions Pdf

Here you will find Telangana TSBIE State Board Syllabus TS Inter 1st Year Economics Study Material Pdf free download, TS Intermediate 1st Year Economics Textbook Solutions Questions and Answers in English Medium and Telugu Medium according to the latest exam curriculum. The chapter-wise TS Inter 1st Year Study Material will help the students in understanding the concept behind each question in a detailed way.

Students can check the TS Inter 1st Year Economics Syllabus & TS Inter 1st Year Economics Important Questions for strong academic preparation. Students can use TS Inter 1st Year Economics Notes as a quick revision before the exam.

TS Intermediate 1st Year Economics Study Material Pdf Download | TS Inter 1st Year Economics Textbook Solutions Telangana

TS Inter 1st Year Economics Study Material in Telugu Medium

TS Inter 1st Year Economics Study Material in English Medium

TS Inter 1st Year Economics Syllabus

Telangana TS Intermediate 1st Year Economics Syllabus

Unit 1 Introduction to Economics
Definitions of Economics, Fundamental Problems of an Economy, Nature and Scope of Economics, Micro and Macroeconomics, Basic Concepts of Economics (Including Positive and Normative Economics)

Unit 2 Theories of Consumer Behaviour
Utility, Law of Diminishing Marginal Utility, Law of Equi-Marginal Utility, Shortcomings of Utility Analysis, Indifference Curve Analysis: Features of Indifference Curves – Budget Line – Consumer’s Equilibrium with the help of Indifference Curve Analysis

Unit 3 Demand Analysis
Part-A: Theory of Demand: Meaning of Demand, Demand Function, Determinants of Demand, Types of Demand, Price Demand – Law of Demand, Income Demand, Cross Demand
Part-B: Elasticity of Demand: Elasticity of Demand, Price Elasticity of Demand, Income Elasticity of Demand, Cross Elasticity of Demand

Unit 4 Production Analysis
Concept of Production and Factors of Production, Production Function, Law of Variable Proportions, Laws of Returns to Scale, Economies of Scale, Supply and Law of Supply, Cost Analysis, Revenue Analysis

Unit 5 Market Analysis
Markets: Meaning and Classification, Perfect Competition: Meaning, Characteristics and Price Determination, Monopoly: Meaning, Characteristics and Price Determination, Comparison between Perfect Competition and Monopoly, Monopolistic Competition, Oligopoly and Duopoly: Meaning and Characteristics

Unit 6 Theories of Distribution
Distribution of Income, Marginal Productivity Theory of Distribution, Concept of Rent and Ricardian Theory of Rent, Concepts of Wages, Interest and Profits

Unit 7 National Income Analysis
Definitions of National Income, Determining Factors of National Income, Concepts of National Income, Components of National Income, Measurement of National Income: Methods, Difficulties and Importance, Estimation of National Income in India

Unit 8 Theories of Employment and Public Finance
Classical Theory of Employment, Keynesian Theory of Income and Employment Public Finance: Public Revenue, Public Expenditure and Public Debt, Centre-State Financial Relations, Budget

Unit 9 Money, Banking and Inflation

  • Part-A: Money: Money: Concept, Evolution and Types, Functions of Money, Components of Money Supply
  • Part-B: Banking: Banking: Commercial Banks, Central Bank or Reserve Bank of India: Objectives and Functions
  • Part-C: Inflation: Inflation: Definitions and Types, Causes and Effects of Inflation

Unit 10 Basic Statistics for Economics
Concept of Statistics, Nature, Scope and Importance of Statistics for the Study of Economics, Collection of Data, Diagrammatic Presentation of Data, Measures of Central Tendency.

TS Inter 1st Year Economics Syllabus in Telugu

యూనిట్ 1 అర్థశాస్త్ర పరిచయం
అర్థశాస్త్ర నిర్వచనాలు, ఆర్థిక వ్యవస్థ మౌళిక సమస్యలు, అర్థశాస్త్ర స్వభావం, పరిధి, సూక్ష్మ అర్థశాస్త్రం, స్థూల అర్థశాస్త్రం, నిశ్చయాత్మక, నిర్ణయాత్మక అర్థశాస్త్రం, ప్రాథమిక ఆర్థిక భావనలు.

యూనిట్ 2 వినియోగదారుని ప్రవర్తనా సిద్ధాంతాలు
ప్రయోజనం, క్షీణాపాంత ప్రయోజన సూత్రం,సమోపాంత ప్రయోజన సూత్రం, ప్రయోజన విశ్లేషణ లోపాలు, ఉదాసీనత వక్రరేఖ విశ్లేషణ.

యూనిట్ 3 డిమాండ్ విశ్లేషణ
భాగం – A : డిమాండ్ సిద్ధాంతం : డిమాండ్ – అర్థం, డిమాండ్ ఫలం, డిమాండ్ ను నిర్ణయించే అంశాలు, డిమాండ్ రకాలు, ధర డిమాండ్ – డిమాండ్ సూత్రం, ఆదాయ డిమాండ్, జాత్యంతర డిమాండ్.
భాగం – B : డిమాండ్ సిద్ధాంతం : డిమాండ్ వ్యాకోచత్వం, ధర డిమాండ్ వ్యాకోచత్వం, ఆదాయ డిమాండ్ వ్యాకోచత్వం, జాత్యంతర డిమాండ్ వ్యాకోచత్వం.

యూనిట్ 4 ఉత్పత్తి విశ్లేషణ
ఉత్పత్తి భావన, ఉత్పత్తి కారకాలు, ఉత్పత్తి ఫలం, చరానుపాతాల సూత్రం, తరహాననుసరించి ప్రతిఫలాల సూత్రం, తరహా ఆదాలు, సప్లయ్, సప్లయ్ సూత్రం, వ్యయ విశ్లేషణ, రాబడి విశ్లేషణ.

యూనిట్ 5 మార్కెట్ విశ్లేషణ
మార్కెట్ల అర్థం, వర్గీకరణ, సంపూర్ణ పోటీ : అర్థం, లక్షణాలు, ధర నిర్ణయం, అసంపూర్ణ పోటీ : ఏకస్వామ్యం, సంపూర్ణ పోటీ – ఏకస్వామ్యాల మధ్య పోలిక, ఏకస్వామ్య పోటీ, పరిమితస్వామ్యం, ద్విదాధిపత్యం.

యూనిట్ 6 పంపిణీ సిద్ధాంతాలు
ఆదాయ పంపిణీ, ఉత్పత్తి కారక ధర నిర్ణయం, ఉపాంత ఉత్పాదకత పంపిణీ సిద్ధాంతం, భాటకం : భావనలు, రికార్డో భాటక సిద్ధాంతం, వేతనాలు : భావనలు, రకాలు, వడ్డీ : భావనలు, లాభాలు : భావనలు.

యూనిట్ 7 జాతీయాదాయ విశ్లేషణ
జాతీయాదాయ నిర్వచనాలు, జాతీయాదాయాన్ని నిర్ణయించే అంశాలు, జాతీయాదాయ భావనలు, జాతీయాదాయ భాగాలు, జాతీయాదాయ మదింపు: పద్ధతులు, ఇబ్బందులు, ప్రాధాన్యత, భారతదేశంలో జాతీయాదాయ అంచన.

యూనిట్ 8 ఉద్యోగితా సిద్ధాంతాలు మరియు ప్రభుత్వ విత్తం
సంప్రదాయ ఉద్యోగితా సిద్ధాంతం, కీన్స్ ఆదాయ ఉద్యోగితా సిద్ధాంతం, ప్రభుత్వ విత్తశాస్త్రం, కేంద్ర రాష్ట్ర ఆర్థిక సంబంధాలు, బడ్జెట్.

యూనిట్ 9 ద్రవ్యం, బాంకింగ్, ద్రవ్యోల్బణం

  • భాగం – A : ద్రవ్యం : ద్రవ్యం : భావన, పరిణామక్రమం, రకాలు, ద్రవ్యం విధులు, ద్రవ్య సప్లయ్ అంతర్భాగాలు.
  • భాగం – B : బాంకింగ్ : బాంకింగ్ : వాణిజ్య బాంకులు, కేంద్ర బాంకు లేదా భారతీయ రిజర్వు బాంకు : లక్ష్యాలు, విధులు.
  • భాగం – C : ద్రవ్యోల్బణం : నిర్వచనాలు, రకాలు, ద్రవ్యోల్బణానికి కారణాలు, ప్రభావాలు.

యూనిట్ 10 అర్థశాస్త్రంలో ప్రాథమిక గణాంకశాస్త్ర భావనలు
గణాంకశాస్త్ర భావన, అర్థశాస్త్ర అధ్యయనంలో గణాంకశాస్త్ర స్వభావం, పరిధి, ప్రాముఖ్యత, దత్తాంశ సేకరణ, చిత్రపటాల ద్వారా దత్తాంశ సమర్పణ, కేంద్ర స్థాన కొలతలు.

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TS Inter 1st Year Political Science Study Material Telangana | TS Intermediate 1st Year Political Science Textbook Solutions Pdf

Here you will find Telangana TSBIE State Board Syllabus TS Inter 1st Year Political Science Study Material Pdf free download, TS Intermediate 1st Year Political Science Textbook Solutions Questions and Answers in English Medium and Telugu Medium according to the latest exam curriculum. The chapter-wise TS Inter 1st Year Study Material will help the students in understanding the concept behind each question in a detailed way.

Students can check the TS Inter 1st Year Political Science Syllabus & TS Inter 1st Year Political Science Important Questions for strong academic preparation. Students can use TS Inter 1st Year Political Science Notes as a quick revision before the exam.

TS Intermediate 1st Year Political Science Study Material Pdf Download | TS Inter 1st Year Political Science Textbook Solutions Telangana

TS Inter 1st Year Political Science Study Material in Telugu Medium

TS Inter 1st Year Political Science Study Material in English Medium

TS Inter 1st Year Political Science Syllabus

Telangana TS Intermediate 1st Year Political Science Syllabus

Unit 1 Introduction of Political Science
Meaning and Definition of Political Science, Nature of Political Science, Scope of Political Science, Significance of Political Science, Relation between Political Science and other Social Sciences: Sociology, History, Economics.

Unit 2 State
Meaning and Definitions of State, Essential Elements of the State, Relation between the State and others Institutions: State and Society, State and Government, State and Associations, Sovereignty: Meaning, Definitions, Characteristics and aspects of sovereignty.

Unit 3 Nation States – Nationalism
Introduction and Importance of Nationalism: Meaning and Definitions of Nation, Nationality, Essential Elements of Nationality, National Self Determination.

Unit 4 Political Concepts
Law – Meaning and definitions of Law, Sources of Law, Classification of Law, Rule of Law
Liberty – Meaning and Definitions of Liberty, Characteristics of Liberty, Types of Liberty, Safeguards of Liberty
Equality – Meaning of Equality, Essential Features of Equality, Types of Equality
Justice – Introduction, and Definitions of Justice, Major concepts of Justice, Types of Justice
Power – Concept of Power, Nature, and Significance of Power, Different forms of Power.

Unit 5 Important Political Ideologies
Liberalism and its basic features, Socialism and its basic features, Communism and its basic features, Gandhismand its basic features.

Unit 6 Rights and Duties
Rights – Meaning and Definitions, Important features of Rights, Classification of Rights, safeguards of Rights
Duties – Meaning and Definitions, Types of Duties, Relation between Rights and Duties.

Unit 7 Citizenship
Introduction and Concept of Citizenship, Methods of acquiring Citizenship and loss of Citizenship, Qualities of Goods Citizenship.

Unit 8 Democracy
Meaning and Definition, Features of Democracy, Types of Democracy, The essential conditions for the success of Democracy, The Role of Public opinion in Democracy.

Unit 9 Secularism
Meaning and Definitions, Important features of Secularism, Secular State and Theocratic State.

Unit 10 Constitution
Meaning and Definitions of Constitution, Essential features of Constitution, Classification of Constitutions: Written, Unwritten, Rigid, Flexible.

Unit 11 Organs of Government
Concept of Government, Theory of separation of powers, Legislature: Powers and Functions, Executive: Powers and Functions, Judiciary: Powers and Functions.

Unit 12 Forms of Governments
Introduction and Classification of Governments, Unitary Government and its features, Federal Government and its features, Presidential form of Government and its components, Parliamentary form of Government and its feature.

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TS Inter 1st Year English Reading Comprehension Unseen Passages

Telangana TSBIE TS Inter 1st Year English Study Material Reading Comprehension Unseen Passages Exercise Questions and Answers.

TS Inter 1st Year English Reading Comprehension Unseen Passages

Q.No. 7 (4 out of 6 Questions: 4 × 1 = 4 Marks)

EXERCISES

Read the following passages and answer the questions given after them.

I. INTRODUCING READING COMPREHENSION

1. Complementing Comprehension

Comprehension is a very comprehensive concept. It covers many aspects. Knowing the mere meaning of the text is but a small part of comprehension. Comprehension includes
(a) decoding the meaning, (b) relating it to what one knows, (c) thinking about it appropriately, (d) responding positively, (e) applying it to real life and (f) remembering it and retrieving it when needed. In that inclusive sense, comprehension forms the very base of any learning- languages, humanities, sciences and most importantly, life’s lessons. Treating comprehension as an examination-linked task is to limit our own progress. Enlightenment, enrichment and enjoyment go hand in hand as one steadily progresses in acquiring comprehension skills !

Questions :
i) Why is comprehension considered comprehensive ?
ii) What is meant by comprehension ?
iii) Write down two important aspects of true comprehension.
iv) What is at the very base of any learning ?
v) According to the passage, what is the most important subject to learn ?
vi) What is comprehension in the opinion of some persons that hampers one’s progress in learning ?
vii) What is the result of steady progress in one’s comprehension skills ?
viii) Write the expression used in the passage to mean together/in coordination.
Answers:
i) as it covers many aspects.
ii) knowing the meaning of the text
iii) decoding the meaning, remembering it, recollecting it when needed
iv) comprehension
v) life’s lessons
vi) an examination-linked task
vii) Enlightenment, enrichment and enjoyment go hand in hand.
viii) go hand in hand

TS Inter 1st Year English Reading Comprehension Unseen Passages

2. Opportunities Unlimited

I notice the methodapplied to about six of the wealthiest men in England in a book of interviews published by an able and well-known journalist.
[This is a single sentence with twenty-six words. It is taken from G K Chesterton’s The Worship of the Wealthy]

Questions :
i) Who does the word Irefer to in the passage ?
ii) What did the narrator notice ?
iii) Where did the narrator notice it ?
iv) To whom was that method applied ?
v) Where did those six wealthy persons hail from ?
vi) Which is the book mentioned here ?
vii)Who published that book ?
viii) What is the specialty of that publisher ?
ix) What kind of people find place in the passage ?
x) Write the synonym of popular
xi) Write the other formsof the word able
xii) Can we also calla reporter a journalist ?
xiii) Can you write two or more such words used in that field as journalist?
Answers:
i) if the speaker
ii) the method applied to
iii) in a book of interviews
iv) to about six of the wealthiest men in England.
v) from England
vi) a book of interviews
vii) a well-known journalist
viii) an able and well-known person
ix) wealthy, famous persons
x) famous/well-known
xi) ably, ability, capable, unable, inability
xii) No, we cannot.
xiii) editor, composer, staffer, reporter, desk

TS Inter 1st Year English Reading Comprehension Unseen Passages

II. GOLDEN TELANGANA SHINING

3. Innovation in Irritation-Kaleswaram

Kaleswaram, the brainchild of Sri K. Chandrashekhar Rao, is considered the world’s
largest multipurpose, multistage lift irrigation project. The other two such projects in the world (one in the USA – Colorado; and the other in Egypt – Great Manmade River) took three decades for their completion. But Kaleswaram Lift Irrigation Project (KLIP) was inaugurated in just three years (on 21 June 2019) after starting work on it in 2016.

With three barrages, 20 lifts and 20 reservoirs, it aims at lifting water to 500 meters height and carrying it to over 500 KMs spanning 13 districts with a canal network crossing 1800 KMs. Built on the Godavari at Kaleswaram in Jayashankar Bhupalpalli district, the project mainly aims to use the till now unused Pranahitha waters near its confluence with the Godavari. The project presently lifts 2TMC (Thousand million cubic feet) water per day. Plans are a foot to increase the capacity to 3TMC a day. It aims at irrigating 37 lakh acres besides meeting the drinking water needs of Hyderabad and other villages, developing water transport and promoting fisheries and tourism.

Questions :
i ) Why is Kaleswaram called a multipurpose project ?
ii) Support the statement that KLIP is a multistage project.
iii) What is the difference between KLIP and the other such projects in the world ?
iv) Name the river that provides water to KLIP
v) To what height is water lifted from the beginning to the final point ?
vi) What is the irrigation potential of KLIP in acres ?
vii) Expand TMC.
viii) Give the location of KLIP
Answers:
i) as it irrigates, supplies drinking water, develops water transport, promotes fisheries and tourism.
ii) as it consists of three barrages, twenty lifts and twenty reservoirs.
iii) KLIP was inaugurated in three years after the work started on it while the two other such projects took three decades for their completion.
iv) the Pranahitha and the Godavari
v) 500 meters high
vi) 37 lakh acres
vii) Thousand million cubic feet
viii) Kaleswaram in Jayashankar Bhupalpalli district

TS Inter 1st Year English Reading Comprehension Unseen Passages

4. Loving Warriors

Love is gravity, for it makes some attached to others (including animals). Pradeep Nair and Santhosi-made for each other Hyderabad couple-belong to that rarest category, attached to others. These Heroes of Hyderabad have so far rescued seventy thousand distressed animals! They foster disabled animals too. Initiated indirectly into this mission by their parents, they started their love saga 14 years ago. With registration in 2019, their 25+ active, skilled team is now officially Animal Warriors Conservation Society.

They coordinate with other NGOs, Fire, Forest and Zoo officials in wildlife conservation and activities like lake cleaning and manza cleaning. Despite resources crunch, they go ahead with their mission. Sensitive souls, intelligent minds and skilled hands are their invaluable resources. Their determined will has moved our IT Minister, KT Rama Rao into the rarest gesture of extending a furtd of rupees 10 Lakh. Crying wildlife appeals to all to strengthen their caring hands by sharing their mission of animal protection, wildlife conservation and awareness promotion.

Questions :
i) When we read about Pradeep Nair and Santhosi we think of the great saying, Love is gravity. Explain in a sentence how.
ii) Who prompted them to love animals ?
iii) What are the three goals that constitute their mission ?
iv) Who do they coordinate with in their wildlife conservation ?
v) Name the organization that got an official status in 2019.
vi) What moved the IT Minister to show the rarest gesture ?
vii) What is the appeal of crying wildlife ?
viii) Pick out the synonym of preservation from the passage.
Answers:
i) as they are attached to others, including animals
ii) their parents
iii) wildlife conservation, lake cleaning and manza cleaning
iv) with other NGOs, Fire, Forest and Zoo officials vf Animal Warriors Conservation Society
vi) their determined will
vii) to strengthen their caring hands by sharing their mission,
viii) conservation

5. Swatch Badi – Clean Telanoana – Second Only to One ?

The second Swatch Badi (the first one in India being in Bengaluru) was recently inaugurated by the Finance Minister T. Harish Rao in Siddipeta. Here, the faculty will teach how to collect garbage, segregate dry, wet and harmful garbage, take care of public health, avoid plastic and produce compost from garbage at homes. Dr. Prashanti from Bengaluru will supervise the activities at this learning centre. Children or elders, anyone can enroll here 7 for the course. Focus is on educating school-children, DWCRA [Development of Women and Children in Rural Areas] women and leaders. Teaching here is carried on in the digital form, actual demos and power point presentations. Compost generated thus can be used as manure. Spreading the concept all around is the need of the hour !

Questions :
i) Where does the first Swatch Badi in India function ?
ii) Swatch Badi in Siddipeta is the first of that kind in Telangana. Say true or false.
iii) Name the three types of garbage mentioned in the passage.
iv) Who looks after the functioning of this school ?
v) Who can join this school ?
vi) Mention the three teaching methods used here.
vii) How can the compost produced here be used ?
viii) Is it enough for Telangana to have this one school ?
Support your answer with a sentence from the passage.
Answers:
i) in Bengaluru
ii) true
iii) dry, wet and harmful
iv) Dr. Prashanthi from Bengaluru
v) Children or elders (anyone)
vi) digital form, actual demos and power point presentations
vii) as manure
viii) No. Spreading the concept all around is the need of the hour !

TS Inter 1st Year English Reading Comprehension Unseen Passages

6. Initiative an INCH-Inspiration in TONS

An iota of initiative can ignite inspiration in tons, capable of moving mountains at a rapid pace. Sounds incredible ? See it happen in our golden Telangana right now. Miracles become common when the initiative comes from a man with integrity, good intentions and unconditional love for others. Other worth emulating traits of his sterling personality are : (a) simple living and high thinking; (b) love for truth; (c) discipline;
(d) practising before preaching; (e) democratic to the core and (f) working for common cause. His quest for truth is visible in his forty-year oldSatyanveshana Mandali.

His belief that individual progress and social progress are inseparable has prompted him to work for the development of a model town involving hundreds of committed persons from all walks of life, including spiritual areas. He is Surendra Babu Putta, 71. and the fortunate town witnessing his impact is Kodada, the Gateway of Telangana. His very lifestyle offers innumerable lessons on integrated personality development to the interested. Think, think, think-this is his mantra.

Questions :
i) How is the value of initiative highlighted in the passage ?
ii) Does the initiative from any kind of person have the same impact ?
iii) The initiative from what kind of persons can make miracles the order of the day ?
iv) Name three traits of the lead character’s personality.
v) Is it usual to have all such positive traits in persons around us ?
vi) What is the objective of the forty-year old organization mentioned in the passage ?
vii) Name the person impacting and the place being impacted.
viii) What kind of lessons can we learn from his way of living ?
Answers:
i) An iota of initiative can ignite inspiration in tons, capable of moving mountains at a rapid pace.
ii) No.
iii) from persons with integrity, good intentions and unconditional love for others.
iv) a) simple living and high thinking; b) love for truth and c) discipline
v) No, not usual
vi) Satyanveshana Mandali pursues the objective of quest for truth.
vii) Surendra Babu Putta; Kodada, the Gateway of Telangana
viii) lessons in integrated personality development

TS Inter 1st Year English Reading Comprehension Unseen Passages

7. Save Girl Child ! n Save Mankind !

Gender bias is a global problem. Its intensity in India is intriguing for reasons both obscure and obvious. Yet, at times we see brilliant rays of hope emanating from unexpected quarters. An instance of this is an inspiring move initiated at Haridaspur village of Kondapur Mandal, Sangareddy district by the Sarpanch, Shafi to save girl children and to encourage their education. Proving that good manners too are infectious, the movement started spreading fast, for and wide. In just a year of its beginning, a handful of villages have already started following the example.

Inspired by this movement, Yeddumailaram village (Kandi Mandal) has set a record by opening Sukanya Samruddhi Yojana (SSY) accounts for 72 girl children on a single day. Opening such accounts, planting trees, honouring the mothers of girl children, encouraging girl education etc., are the main moves in this direction. Public representatives, doctors, press and officials have been actively encouraging such persons. Pride of place is credited to Intermediate Education as its personnel, particularly a Principal, have been playing an active role for long by promoting crucial awareness and raising funds, even from NRIs ! May their tribe multiply !

Questions :
i) What is the issue that is regarded as universal in this passage ?
ii) Is India in a better position in this connection than other countries ?
iii) How has Haridaspur set an example in eliminating gender bias ?
iv) What makes the narrator say that good manners are infectious ?
v) List the main moves initiated in the Save Girl Child Campaign.
vi) What kind of role is being played by the personnel from Intermediate Education ?
vii) Write the part of speech of the word personnel.
viii) Give the synonym for the word essential from the passage.
Answers:
i) gender bias
ii) No, it is not in a better position.
iii) by saving girl children, encouraging their education, honouring mothers of girl children etc.
iv) as this movement started to spread fast, far and wide
v) opening SSY accounts, planting trees, honouring mothers of girl children and encouraging girl education
vi) an active role in promoting crucial awareness and raising funds
vii) noun
viii) crucial

TS Inter 1st Year English Reading Comprehension Unseen Passages

8. WOMEN at CENTRE-WELFARE in PROGRESS

A woman is a full circle. Within her is the power to create, nurture and transform, goes a glorious compliment, highlighting woman’s power. Then, if many women are at the helm of a village, can you imagine the degree of transformation ? A lively example is unfolding itself at Madhavaram village of Suryapet district. With the initiative from the sons of the soil like Sri Koti Reddy, Superintendent of Police, Ram Sudheer, School Assistant (Teacher), the entire village Panchayat was unanimously occupied by an all-women team.

Besides, women’s committees were formed for each important village development activity like education, health, drinking water and sanitation. Ms Vijayalakshmi, Sarpanch and Ms Janakamma, Vice-Sarpanch were all smiles when asked about their achievements in a short span of time. The long list includes a library, purified water, a gymnasium, English Medium Sections in ZP School, greenery etc. Their honesty in admitting that their move towards prohibition of liquor still awaits results stuns everyone. The village serves as a model, showcasing women’s power.

Questions ;
i) Frailty, thy name is woman, says Shakespeare. But, what does this passage say in this regard ? (Frailty means weakness-)
ii) Mention the unique feature of Madhavaram’s present panchayat.
iii) What do other all-women committees have for their function ?
iv) Why were the Sarpanch and Vice-Sarpanch all smiles ?
v) Which particular area still awaits satisfactory progress ?
vi) What does the village seek to showcase ?
vii) Who initiated the village development activities ?
viii) Write the expression from the passage used to mean jn the charge of-
Answers:
i) power, thy name is woman.
ii) It is occupied by an all-women team.
iii) education, health, drinking water, sanitation, etc.
iv) as they recorded many achievements in a short span of time
v) the prohibition of liquor
vi) women’s power
vii) Sri Koti Reddy, SP and Sri Ram Sudheer, teacher
viii) at the helm

III. LESSONS FROM ROOTS

9. Mistakes can Make Miracles

Mistakes at times can turn out to be a blessing in disguise. One such error led to the establishment of the Nobel Prize, the most coveted award in the world. When Ludwig (Alfred’s brother) died in 1888, a French newspaper erroneously confused the deceased’s identity with that of Alfred Nobel, the inventor of dynamite that brought him enormous money. As a result, it published a scathing obituary entitled The Merchant of Death is Dead. Alfred thus had the rarest opportunity of reading his own death report (obituary). His troubled conscience said to himself, “Is this how posterity is going to remember me ? No, I must do something. The huge fortune I made must go to promote peace in this world. “What followed is history. Nobel prizes in Peace, Literature, Physics, Chemistry and Biology/Medicine were thus born !

Questions :
i) What was the error that led to the establishment of the Nobel Prize ?
ii) How did the French paper describe Alfred Nobel ?
iii) Who died in 1888 ?
iv) What was the rarest opportunity Alfred Nobel had ?
v) How did Nobel try to change his image ?
vi) Write the word used in the passage to mean death report.
vii) Give the antonym, from the passage, of appreciative.
viii) What is the difference, in terms of grammar, between the words death and dead ?
Answers:
i) confused the deceased’s identity with that of Alfred Nobel
ii) as the Merchant of Death
iii) Ludwig Nobel, Alfred’s brother
iv) to read his own death report
v) by trying to promote peace in the world and by establishing the Nobel Prize.
vi) obituary
vii) scathing
viii) death-noun; dead – adjective

TS Inter 1st Year English Reading Comprehension Unseen Passages

10. Forget and Forgive-Live Life

Man gets and forgets : God gives and forgives; thus goes a saying. Once, a godlike four-year-old child showed the way. The girl was at the dining table, listening intently to her father admonishing her. When he took a long pause, she asked politely, “Dad, if you have finished, may I say something ?” Even while being scolded, she maintained her poise. Her patient listening and her poise teach us life’s lessons as well, or even better than the scriptures do. Think of any adult in that situation and the probable response. Can anyone be anywhere near that girl in her attitude ? We all like to be liked, no doubt. But can we order fond feelings from others ? Patience, forgiveness, love etc are some valuable qualities that help us live in peace, be liked and more importantly, help us give and yet forgive others-a sure way to spread true happiness all around.

Questions :
i) What are the attributes of man, according to the saying ?
ii) What was the girl doing while her father was scolding her ?
iii) What qualities in that girl teach us life’s lessons ?
iv) According to the passage, there are many adults like that girl. Say true or false
v) Does the writer say that fond feelings can be ordered from others ?
vi) Write is the sure way for spreading happiness all around ?
vii) Write the synonym of the word scolding.
viii) Write the antonym of the word inattentively.
Answers:
i) Man gets and forgets.
ii) She was at, the dining table, listening to her father intently.
iii) her poise and patient listening
iv) false
v) No, they cannot be ordered from others.
vi) to have patience, love, forgiveness etc., that help us live in peace, be liked and give and yet forgive.
vii) admonishing
viii) intently

IV. WOMAN EMPOWERMENT

11. A .Queen’s Wisdom

Layla, the wise queen once ruled Arabia. Her wisdom illuminated the land like the Sun. In beauty and wealth she had peers none. All the seven regions under her control enjoyed peace and prosperity, courtesy, her able and wise rule. Yet, people were not content. They used to say some unpleasant things against the queen. When the Chief Advisor wanted to know the reason for this, the queen smiled and said, “I can do almost everything I wish. I can order the frontiers to be closed; the gates of the palace to be locked and so on. But one thing I cannot do : make the people shut their mouths. It matters not what false things people say; what counts more is to continue to do which I consider to be true!”

Questions :
i) What is queen Layla famous for ?
ii) How was it that all those seven regions enjoyed peace and prosperity ?
iii) What did the Chief Advisor want to know ?
iv) What was the one thing that the queen was unable to do ?
v) Was the queen worried as she couldn’t do that ?
vi) Why was the queen not bothered by the unpleasant things people said ?
vii) What really matters most, according to the queen ?
viii) Give the antonym of the word adversity.
Answers:
i) for her wisdom, beauty, wealth
ii) due to her able and wise rule
iii) the reason for people saying some unpleasant things against the queen despite her able and wise rule
iv) to make the people shut their mouths
v) no, not worried
vi) because she knew well that what false things people say mattered not much
vii) to continue to do which she considered to be true
viii) prosperity

TS Inter 1st Year English Reading Comprehension Unseen Passages

12. Charity Boundless

Live only to serve, to serve food seemed to be the motto that guided Ms. Dokka Seetamma all through her life. Popular as Apara Annapoorna, Ms Dokka Seetamma was born in October 1841 at Mandapeta of East Godavari District. Her father, Mr Bhavani Sankaram offered food to anyone who came to them hungry. Seetamma’s mother died when she was just six. And Seetamma had to shoulder her mother’s responsibility of serving food to the needy. Thus started habit of cooking and serving food lasted for four-plus decades. Even after her marriage to Dokka Joganna and her moving to Lankala Gannavaram, she didn’t do anything else except cooking and serving food. King Edward VII honoured her for her philanthropy by placing her photograph at a function. An aqueduct on the Godavari was named after her. And her statue finds a place in Vivekananda Park in Kakinada.

Questions :
i) What is the motto that guided Ms. Dokka Seetamma all through her life ?
ii) Where was Ms. Seetamma born ?
iii) Why did she start serving food since the time she was six ?
iv) How long did she continue in her mission of serving food ?
v) List the honours she enjoyed.
vi) What is her other popular name ?
vii) Write the idiom used in the passage to mean to take up the work,
viii) Write the part of speech of the word philanthropy.
Answers:
i) “Live only to serve, to serve food.
ii) at Mandapeta of East Godavari district
iii) as her mother died when she was six
iv) to more than four decades
v) King Edward VII placing her photograph at a function, an aqueduct on the Godavari after her name, her statue in Vivekananda Park in Kakinada
vi) Apara Annapoorna
vii) shoulder the responsibility
viii) philanthropy-noun

V. VARIETY IN CREATIVITY

13. A Modern Marvel Taking Shape on Out Soil at Sangareddy

Can you conceive of a construction without cement and steel ? Unimaginable ? But, a modern marvel-a 32 foot high Sri Chakra shaped temple is taking shape on a sprawling one and a half acre site with just natural elements like lime, jaggery, jute, gum, myrobalan fruit (karakkaya) paste, Indian bael (Maredu/Bilwa) juice, sand and stone (15 lakh pieces, some weighing 5 tons each). With Lord Shiva as the presiding deity, this Sri Kailasa Prastara Mahameru (human body) Panchamukha Umamaheswara Devasthanam, at Phasalvadi village, near Sangareddy, is being devised, planned and executed by jyothirvaasthu Vidyapeetham.

Modelled after ancient temples like Konark, Hampi, this 20 crore rupee mammoth miracle is expected to have a life of 6,000 years, says Maheswara Siddhanthi, the man behind this project. Hundreds of expert engineers, skilled sculptors, eminent architects and famous artisans have been toiling since day one i.e., 14 June 2017 and are determined to complete it at the earliest. With concepts from epics as its fountain of inspiration, this temple looks certain to flourish as a spiritual centre with unique architectural features !

Questions :
i) Mention the unique feature of this temple in terms of construction materials used.
ii) Which organization is executing the work of this temple ?
iii) Where is this temple located ?
iv) Without using cement and steel, can the structure last long ? Support your answer with a sentence from the passage.
v) Name the temples that were studied to design this temple.
vi) Who is supervising this major project ?
vii) Write the synonym of the word famous.
viii) When did the actual construction work start on this project ?
Answers:
i) Without using steel and cement, it uses only natural elements like lime, jaggery, jute, gum.
ii) Jyothirvaasthu Vidyapeetam
iii) Phasalvadi village, near Sangareddy
iv) Yes. It is expected to have a life of 6,000 years.
v) Konark, Hampi temples
vi) Maheswara Siddhanthi
vii) eminent
viii) on 14 June 2017

TS Inter 1st Year English Reading Comprehension Unseen Passages

14. No Stops Barred

‘Go’ is the single-worded, shortest sentence. What could, then, be the longest sentence ? How many words ? Try guessing. The longest sentence has four lakh plus words. Yes, It’s a thousand-page novel titled Ducks, Newburyport, conceived and composed by Lucy Ellman. This thousand page novel won this year’s (2020) 10,000 pound Goldsmith’s Prize, for breaking the mould and extending the novel’s form. “It’s a massive achievement,”
exclaimed a judge. “This gripping, hypnotic novel remakes the novel ” extolled another judge. The ambitious form of the novel initially invited rejections till Galley Beggar finally published it. The novel is in the form of an internal monologue of a mother in Ohio as she bakes pies in her kitchen. According to the writer, this one long run-on sentence book makes its readers float around to sink or swim, engulfed in one woman’s thought.

Questions :
i) How many words are there in the longest sentence ?
ii) Who -composed that sentence and in’Which form ?
iii) What do.es, that sentence,deal with (its content) ?
iv) How was that longest sentence honoured in the year of publication ?
v) Reproduce the comments on the book by two judges.
vi) Why was the book initially rejected by the publishers ?
vii) “This one long run-on sentence book makes its readers .” What does it make its readers ?
viii) Why was this book chosen for Goldsmith’s Prize ?
Answers:
i) four lakh plus words
ii) Lucy Ellman, in the form of a novel
iii) It deals with the thoughts of a mother in Ohio as she bakes pies in her kitchen.
iv) honoured with 2020 Goldsmith’s Prize with 10,000 pound cash
v) i) It’s a massive achievement
ii This gripping, hypnotic novel remakes the novel….
vi) because of its ambitious form
vii) float around to sink or swim, engulfed in one woman’s thought
viii) for breaking the mould and extending the novel’s form

TS Inter 1st Year English Reading Comprehension Unseen Passages

VI. PERSONALITY DEVELOPMENT

15. Rags-to-writer n the Saga of Laxman Rao

India’s Capital is a home to a famous Chaiwala. A darling of the press, feted by numerous organizations and no stranger to the highest echelons of political affair, Laxman Rao led a storied life. It wasn’t his brews but his books that catapulted him into fame, and even into Teen Murthi House, where Indira Gandhi hosted him in 1984. Now the writer of twenty-five Hindi books-novels and plays-he has received awards from NGOs and literary associations and been covered more than one hundred times in print and digital media. All the while, until Delhi went into lockdown, you could still walk up to a tea stall on Vishnu Digamber Marg and treat yourself to a cup of tea from this celebrated author!

Questions :
i) Where does this famous Chaiwala, Laxman Rao, live ?
ii) What does the expression ‘no stranger to the highest echelons of political office’ mean?
iii) What catapulted Laxman Rao into fame ?
iv) Mention the medium that made Laxman Rao familiar to many.
v) What quality of Laxman Rao strikes you the most as you treat yourself with a cup of tea he made and sold to you ?
vi) Write the word used in the passage to mean much talked or written about
vii) What is the word used in the passage to mean a number of
viii) Write the synonym of honoured
Answers:
i) in Delhi
ii) known to (not stranger) many persons in highest positions (echelons levels of authority)
iii) his books
iv) Yes,.he is known to many. His books made him popular. Media gave wide publicity to his books.
v) his status as a celebrated author
vi) storied
vii) numerous
viii) feted

TS Inter 1st Year English Reading Comprehension Unseen Passages

16. Determined to live and Write

Deprivation has driven the determined Manoranjan Byapari to dare even destiny with his pointed questions. Born as a poor, neglected and hard-working labourer with hunger as his twin brother, Manoranjan Byapari turned out to be an award-winning writer. With nearly twenty books in Bengali to his credit, including his latest work, Chandal Jibon (Bengali Title-semi autobiographical)-most of them translated into English and other languages-he received many awards-notable among them being West Bengal Sahitya Academy’s and The Hindu Award for non-fiction.

“I write because I cannot kill,” said Byapari once, adding, “The indomitable will to live keeps me alive even today despite odds like discrimination in dozens I face every day.” He started learning the letters of the alphabet when he was in prison, for no fault of his. Once riding Byapari’s rickshaw and noticing his innate talent to narrate, Maha Swetha Devi invited Byapari to write for her magazine, Bartikal. Thus, a great writer was bom, rather accidentally ! And now he is elected as an MLA from the Balagarh constituency (West Bengal) in May, 2021.

Questions :
i) What drove Manoranjan Byapari to challenge even destiny ?
ii) How has this hard-working poor labourer become popular ?
iii) Name his latest work.
iv) Mention some important honour he received.
v) Why does he write, according to himself ?
vi) Manoranjan Byapari had formal education like an ordinary boy. Say true to false.
vii) What keeps him alive despite odds in dozens he faces even today ?
viii) How did Maha Swetha Devi help the writer in Byapari take birth ?
Answers:
i) deprivation
ii) as a celebrated writer, through his award-winning books
iii) Chandal Jibon (Bengali title-semi autobiographical)
iv) West Bengal Sahitya Academy Award, The Hindu Award for non-fiction
v) “I write because I cannot kill.”
vi) false
vii) the indomitable will to live
viii) by inviting him to write for her magazine, Bartikal

TS Inter 1st Year English Reading Comprehension Unseen Passages

17. Worshipping Heroes

Here are two unique novels – Pharaoh and the King and The Victorian-that made two heroes fans of their writer. The heroes are Chiranjeevi and Hrithik Roshan. And their writer is Dasari Venkata Vishwanath. But the reason ? Their writer is a visually challenged, Telugu Medium student who started writing his first English novel when he was just 11 (2004). Nystagmus or photophobia is the disease that disables him from focusing his sight on any object for more than a second.

Born into a farmer’s family of Gokavaram in East Godavari district, the boy was inspired by JK Rowling. Helped by his English teacher Buchibapayya and younger sister Sija, Venkat worked hard for seven years to complete his first novel in 2011, which was launched by Chiranjeevi. After that, another five years of dedicated work and the second masterpiece was out in 2016. Venkat dedicated it to his favourite hero Hrithik Roshan. That made the hero Venkat’s fan and he invited Venkat to his birthday party as a special guest. Thus, he won the hearts of two heroes, besides those of millions of readers the world over.

Questions :
i) What is unique about the two novels, according to the passage ?
ii) Who are the heroes who turned fans of that writer ?
iii) How does the disease, Nystagmus impact Venkata Vishwanath ?
iv) Name the three persons who helped, directly or indirectly, Venkata Vishwanath in writing his first novel ?
v) How long did Venkata Vishwanath take to write those two novels ?
vi) What made Hrithik Roshan a fan of Venkata Vishwanath ?
vii) How did Hrithik Roshan a fan of Venkata Vishwanath ?
viii) Visual challenges or Telugu Medium background failed to stop Venkata Vishwanath from daring to dream and succeeding. Say true or false-
Answers:
i) that made two heroes fans of their writer
ii) Chiranjeevi and Hrithik Roshan
iii) disables him from focusing his sight on any object for more than a second.
iv) JK Rowling, his English teacher Buchibapayya and his younger sister Sija
v) twelve (7 + 5) years
vi) Venkat dedicating his second novel, The Victorian, to Hrithik Roshan
vii) by inviting Venkat to his birthday party as a special guest
viii) true

TS Inter 1st Year English Reading Comprehension Unseen Passages

VII. WIT AND HUMOUR

18. Strange Lawyer

A lawyer named Strange died, and his friend asked the tombstone maker to inscribe on his tombstone, Here lies Strange, an honest man and a lawyer. The inscriber insisted that such an inscription would be confusing, for passersby would tend to think that three men were buried under the stone. However, he suggested an alternative. He would inscribe, Here lies a man who was both an honest man and a lawyer. That way, whenever anyone walked by the tombstone and read it, they would be certain to remark, That’s strange !

Questions :
i) What was initially planned to be inscribed on the tombstone of Strange, the lawyer ?
ii) How would that inscription confuse the passersby, according to the inscriber ?
iii) Who suggested the alternative inscription ?
iv) Did the new inscription carry the name of the dead lawyer ?
v) How would the passersby know the name of the dead man, without it being on the tombstone ?
vi) What is strange (note the smalls) according to the passage ?
vii) Write the Parts of Speech of the words inscribe, inscription, inscriber.
viii) Write the word used in the passage that means misleading.
Answers:
i) “Here lies Strange, an honest man and a lawyer.”
ii) Passersby would tend to think that three men were buried under the stone.
iii) the inscriber
iv) No
v) by looking at the new inscription, “Here lies a man who was both an honest man and a lawyer”, passersby would surely remark, ‘That’s strange!”
vi) A lawyer being an honest man is strange, according to the passage.
vii) inscribe-verb; inscription-noun (refers to an action); inscriber-noun (refers to a person)
viii) confusing

TS Inter 1st Year English Reading Comprehension Unseen Passages

19. Albert Einstein : Humour. Humanity. Humility

Albert Einstein, the Nobel laureate, was a simple man to whom success, fame and wealth meant nothing. On being appointed the Dean of a University and asked to give his requirements, his demand was for a wastepaper basket. To the stunned person, his cool , v response was, “I commit mistakes, you know.”Humility underlined his simplicity. His simplicity extended to his love for children; he believed that the hope of the world lies in viV- children. His excellent sense of humour helped him to brighten every situation. Asked for a mathematical formula for success in life, he gave, “A = X + Y + Z”, where A = success, X = work and Y = play”. “What is Z ?” was the question. “Keeping your mouth shut,” was Einstein’s response! Everybody talks about him but nobody understands him because he is more of a phenomenon and not just a man.

Questions :
i) What mattered little to Albert Einstein ?
ii) Why did Einstein ask for just a wastepaper basket as a Dean ?
iii) Which quality made his simplicity conspicious ?
iv) What was his belief about children ?
v) How did Einstein’ sense of humour help him ?
vi) What is Einstein’s formula for success in life ?
vii) Why don’t people understand Einstein ?
viii) Give thenoun form ofsimple as found in the passage.
Answers:
i) success, fame and wealth
ii) because he would commit mistakes
iii) humility
iv) “.World’s hope lies in children”.
v) to brighten every situation
vi) A = X + Y + Z (A → success; X → work; Y → play; Z → shut up your mouth)
vii) because he is more of a phenomenon than a man
viii) simplicity

TS Inter 1st Year English Reading Comprehension Unseen Passages

VIII. HEALTH SCENARIO

20. Prime Minister Modi on YOGA

Yoga is an invaluable gift of ancient Indian tradition it embodies unity of mind and body; thought and action; restraint and fulfillment; harmony between man and nature, and a holistic approach to health and well-being. Yoga is not about exercise but to discover the sense of oneness with ourselves, the world and Nature. By changing our lifestyle and creating consciousness, it can help us to deal with climate change. Let us work towards adopting the international Yoga Day.

Questions :
i) Whose gift is Yoga according to the passage ?
ii) Yoga brings about unity between ………….. and ……………. and …………….. ; ……………… and ……………… , …………… Fill in the blanks.
iii) What does Yoga help us to discover ?
iv) How can Yoga help us to deal with climate change ?
v) Is Yoga about physical exercise alone ?
vi) Give the antonym of modern.
vii) Give the verb(present) form of thought(n/v.pt).
viii) Find the word from the passage that means agreement
Answers:
i) ancient Indian tradition
ii) mind, body; thought, action; restraint, fulfillment
iii) the sense of oneness with ourselves, the world and Nature
iv) by changing our lifestyle and creating consciousness
v) No.
vi) ancient
vii) think
viii) harmony

21. Keen Going n COV1D – 19 Taught Lessons !

Nagaland is an excellent example of how communities rise to the occasion. How ? The COVID -19 induced lockdown had convinced them about the importance of self – reliance. As their wage – earning jobs were lost, they resumed farming. And they say they have learnt a lot. With smiles on their faces they say it is a personal rediscovery, going back to nature, cultivating their own food. Food is at the core of our community life they add with pride. And, they have been expanding their farming. Love thy neighbour the community’s philosophy. As the lockdown pushed some into poverty, people have supported those in need. Even Churches began serving meals to the underprivileged. Discovering in difficulties, opportunities to live and let live, that too, joyfully is what the Nagas do and show !

Questions :
i) What did Naga communities understand after Covid induced lockdown ?
ii) What did they resume and why ?
iii) What have they felt about resuming farming ?
iv) What is their community’s philosophy ?
v) How have they practised that philosophy ?
vi) What are the Nagas doing and showing all others ?
vii) Write thesynonym , from the passage, ofcentre .
viii) According to the passage, COVID-19 helped more than it harmed them. Saytrue or false .
Answers:
i) the importance of self-reliance
ii) resumed farming as they lost their wage-earning jobs
iii) They have felt it is a personal rediscovery, going back to nature and cultivating their own • food.
iv) “Love thy neighbour.”
v) by supporting those in need
vi) discovering in difficulties, opportunities to live and let live
vii) core
viii) true

TS Inter 1st Year English Reading Comprehension Unseen Passages

22. Virus Vs Fear

There is NO virus in this world more dangerous than Fear. Understand this fear; otherwise, you will become a dead body before your body dies. It has nothing to do with the virus. The scary atmosphere you feel in these moments is collective madness… It has happened a thousand times and will continue to happen. You usually keep your feat at bay, but in the moment of collective madness, your consciousness can be completely lost. You won’t even know when you lost control of your fear.

Then fear can make you do anything. In such a situation, you can also take your own life or the lives of others. Attention, be mindful. Don’t watch news that triggers fear. Stop talking about the epidemic, repeating the same thing is like self-hypnosis. Fear is a kind of self-hypnosis. This idea will cause chemical changes in the body. During an epidemic, the energy around the world becomes irrational. This way, you can fall into a black hole anytime. Meditation then becomes a protective aura into which no negative energy can penetrate.

Questions :
i) What, according to the narrator, is more dangerous than the virus ?
ii) What happens if one doesn’t understand this fear ?
iii) Does this happen every time ?
iv) What is lost when collective madness prevails in us ?
v) What is the warning given by the narrator ?
vi) It is ADVISABLE to discuss the EPIDEMIC ?
vii) What happens when one gets this idea (fear) ?
viii) How can we remove our negative tendency ?
Answers:
i) Fear is more dangerous than virus.
ii) One will become a dead body before one’s body dies.
iii) Yes, it happens every time.
iv) our consciousness
v) The warning is : Don’t watch news that triggers fear. Stop talking about the epidemic.
vi) No, not advisable
vii) The idea will cause chemical changes in the body.
viii) through meditation

TS Inter 1st Year English Reading Comprehension Unseen Passages

IX. SCIENTIFIC CULTURE

23. On Srinivasa Ramanujam

Mathematics in Indiainevitably makes one think of one extraordinary figure of recent times. This is Srinivasa Ramanujam.Born into a poor Brahmin family in South India, having no opportunities for a proper education, he became a clerk in the Madras Port Trust. But he was bubbling with some irrepressible quality of instinctive genius and played about with numbers and equations in his spare time. By a lucky chance he attracted the attention of a mathematician who sent some of his amateur work to Cambridge in England.

People there were impressed and a scholarship was arranged for him. So he left his clerk’s job and went to Cambridge and during a very brief period there did work of profound value and amazing originality. The Royal Society of England went rather out of their way and made him a Fellow, but he died two years later, probably of tuberculosis, at the age of thirty three. Professor Julian Huxley has, I believe, referred to him as the greatest mathematician of the century. [ From The Discovery on India]

Questions :
i) What makes one think highly of Srinivasa Ramanujam ?
ii) Why did Ramanujam become a clerk ?
iii) What was Ramanujam doing whenever he found some free time ?
iv) What helped Ramanujam to go to Cambridge ?
v) What did people at Cambridge do for Ramanujam ?
vi) Describe the work Ramanujam did at Cambridge.
vii) ffow did the Royal Society of England honour Ramanujam ?
viii) What is the compliment Professor Julian Huxley extended tc Ramanujam ?
Answers:
i) Mathematics makes one think of Ramanujam.
ii) because of their poverty and as a result of it, having no opportunities for proper education
iii) played about with numbers and equations
iv) a rnathematician sending his work to Cambridge
v) They arranged a scholarship for him.
vi) work of profound value and amazing originality
vii) honoured Ramanujam by making him a Fellow of the Society
viii) that Ramanujam is the greatest mathematician of the century

TS Inter 1st Year English Reading Comprehension Unseen Passages

24. The Best Award to a TEACHER

Nobel Laureate Sir Chandrashekhar Venkata Raman was among the first three recipients (the other two being Chakravarthi Rajagopala Chary and Dr Sarvepalli Radhakrishnan) of the title Bharat Ratna, the highest civilian award in India in 1954. The then President, Rajendra Prasad, wrote personally to Raman inviting him to be the personal guest in the Rashtrapathi Bhavan, when Raman came to Delhi for the award ceremony. Raman wrote a polite letter regretting his inability to attend the investiture ceremony. He had a noble reason. He had to be by the side of his Ph.D. student as the scholar was trying hard to finalize his Ph.D. thesis before the deadline. “Can there be a better award to a teacher than being by the side of a needy student ?” seems to be Raman’s message to us all!

Questions :
i) Name the highest civilian honour in India.
ii) When was that award conferred on Sir C.V. Raman ?
iii) Who were the other two recipients of the award, along with Sir C.V. Raman ?
iv) What was Rajendra Prasad’s offer to Raman ?
v) Why didn’t Raman attend the award ceremony ?
vi) What appears to be Raman’s message, by not attending the ceremony ?
vii) What is the word used in the passage to mean formal presentation ?
viii) Find the synonym of the word appears from the passage.
Answers:
i) The Bharat Ratna
ii) in 1954
iii) Chakravarthi Rajagopala Chary and Dr. Sarvepalli Radhakrishnan
iv) an invitation to Raman to be his personal guest in Rashtrapathi Bhavan
v) As Raman wanted to be by the side of his Ph.D student, as the scholar was busy finalising his Ph.D thesis
vi) “Can there be a better award to a teacher than being by the side of a needy student ?”
vii) investiture
viii) seems

TS Inter 1st Year English Reading Comprehension Unseen Passages

25. On Tagore and Gandhi

Tagore and Gandhi have undoubtedly been the two outstanding and dominating figures of India in the first half of the twentieth century. It is instructive to compare and contrast them. No two persons could be so different from each other in their make-up or temperaments. Tagore, the aristocratic artist, turned democrat with proletarian sympathies, represented essentially the cultural tradition of India, the tradition of accepting life in the fullness thereof and going through it with song and dance.

Gandhi, more a man of the people, almost the embodiment of the Indian peasant, represented the other ancient tradition of India, that of renunciation and asceticism. And yet Tagore was primarily the man of thought, Gandhi of concentrated and ceaseless activity. Both, in their different ways, had a world outlook, and both were at the same time wholly Indian. They seemed to present different but harmonious aspects of India and to complement each other. [From The Discovery on India]

Questions :
i) How is it useful to compare and contrast Gandhiji and Tagore ?
ii) What is common to both-Tagore and Gandhiji ?
iii) Tagore was primarily the man of thought. As opposed to Tagore in this respect, how was Gandhiji ?
iv) What did Tagore essentially represent ?
v) Gandhiji represented ancient tradition. Which aspect of it did Gandhiji represent ?
vi) Did the differences in their make-up or temperaments (of Gandhiji and Tagore) lead to any friction between their relations ?
vii) ” …………… and to complement each other …………..” complement means …………….. Fill in the blank.
a) congratulations
b) appreciation
c) complete
d) appreciate
viii) Write from the passage the antonym of the word dictator.
Answers:
i) It is instructive to compare and contrast Gandhiji and Tagore.
ii) Both of them were two outstanding and dominating figures of India and both had a world outlook and both were wholly Indian.
iii) Gandhiji was a man of concentrated and ceaseless activity.
iv) the cultural tradition of India
v) of renunciation and asceticism
vi) No, they didn’t lead to any friction
vii) (c) complete
viii) democrat

TS Inter 1st Year English Reading Comprehension Unseen Passages

X. SOCIAL MILIEU

26. GHOTUL – a Model Tribal School

The best known of these indigenous institutions is the Ghotul in Bastar, where older Muria Gond children educate youngsters through a work-play continuum and a sophisticated etiquette of passing on knowledge orally. Children learn countless skills while sharing myths, riddles, songs, dances and ethics based on values of sharing rather than competition. Similar Institutions such as Dhumkuria and Dangribasa exist in Jharkhand and Odisha.

Questions :
i) Where is Ghotul, the tribal school ?
ii) Who are the teachers in that school ?
iii) What is the main mode of teaching there ?
iv) What sophisticated procedure is followed there ?
v) Are there any other institutions of this type ? If so, where are they ?
vi) What are the names of the institutions of this type ?
vii) What does the passage discuss ?
viii) Write the word used in the passage that means a set of customs, practices followed to be polite.
Answers:
i) in Bastar
ii) Older children teach.
iii) passing on knowledge orally
iv) a sophisticated etiquette of passing on knowledge orally
v) Yes, there are, in Jharkhand and Odisha.
vi) Dhumkuria and Dangribasa
vii) The passage discusses indigenous institutions and their teaching methods.
viii) etiquette

TS Inter 1st Year English Reading Comprehension Unseen Passages

27. The Secret Under Ground

Nature is the best teacher. Redwood trees share a secret. They are the largest trees on the planet. Some of them are even of thousands of years old. But, interestingly, their roots do not grow deep. Yet, they endure massive wind storms, devastating earthquakes etc., for centuries. How is it possible ? The secret of redwood trees lies under the ground. Their roots reach outward seeking the roots of other redwood trees. When they meet, they intertwine, making a permanent bond with one another. This way, all the redwood trees support one another. Unity is strength. Thus, they give humanity a crucial lesson : when you receive, you make a living; but when you give, you make a life !

Questions :
i) Regarding size, what is unique about redwood trees ?
ii) How long do redwood trees live ?
iii) What is the interesting feature of redwood trees ?
iv) What is the secret of redwood trees lying under the ground ?
v) How do all redwood trees support one another ?
vi) What is the crucial lesson redwood trees teach humanity ?
vii) Write the antonym, from the passage, of shallow.
viii) Give the synonym, from the passage, of destructive.
Answers:
i) Redwood trees are the largest trees on the planet.
ii) for thousands of years
iii) Their roots do not grow deep.
iv) Their roots reach outward seeking the roots of other redwood trees.
v) When the roots meet, they intertwine, making a permanent bond with one another. Thus all redwood trees support one another.
vi) Unity is strength. When you receive, you make a living; when you give, you make a life.
vii) deep
viii) devastating

TS Inter 1st Year English Reading Comprehension Unseen Passages

28. Everything Relative

Can zero and infinity be the same? This question may seem misleadingly simple. Your instant answer could be No’. But ‘Yes’ is the right answer. That doesn’t mean No’ is wrong. How? Compare the diameter of the earth with the distance between the sun and the arth. Earth’s diameter appears to be almost zero. Now, compare the same with that of a grain. It seems to be infinite. This proves that everything is relative and nothing is abstract. Now, consider, ‘What is riches ?M If your income is more than your wants, you are RICH! More wants, less income ? That is poverty. Want to be rich? Can’t earn more ? Cut down wants, become rich. How logic can comfort one sounds lovely!

Questions :
i) What is the question that seems misleadingly simple?
ii) What would be your instant answer to that question?
iii) What proves your answer-be a yes or no-to be right or wrong?
iv) What is the definition of riches, according to the passage?
y) How can one grow rich even without being able to earn more?
vi) How does logic, even only at times, help one?
vii) Name the planet(s) mentioned in the passage.
viii) The whole passage proves one single point; What is that?
Answers:
i) Can zero and infinity be the same ?
ii) ‘No’
iii) comparison
iv) having income more than wants
v) by cutting down wants
vi) by comforting them
vii) the earth
viii) Everything is relative and nothing is abstract

29. Small is Beautiful

Be it a big task or tough problem, make it into smaller units and see its impact! Break down an unthought desire into its components and allow the child to decide. The Mac Donald’s Happy Meal comes with a burger, a drink, some fries and a small toy. My kid wanted it at age five. I could buy it but broke down the decision for her-“you don’t like fries, the burger is not the kind you really like, and the drink on its own costs far less. Are we
buying because they are selling or we really like the deal ? If we do so, sure, let us get it”. At age five, she walked from the deal. And from many others after that. [Revision Test – I]

Questions :
i) Break down an unthought desire into components. How would this help one ?
ii) What does the Happy Meal include ?
iii) Who asked for the Happy Meal and when ?
iv) The narrator could buy it. Yet he/she didn’t. What did he/she do ?
v) What should be the deciding factor to buy something, according to the narrator ?
vi) The five-year-old kid did not cry when her desire was not fulfilled. Why ?
vii) The passage extends a valuable piece of advice to parents. Say true or false.
viii) “…………… the drink on its own ………………” Write the part of speech of drink.
Answers:
i) that helps one in taking proper decisions
ii) It includes a burger, a drink, some fries and a small toy.
iii) The narrator’s kid wanted it at age five.
iv) The narrator broke down the decision for her.
v) Whether we really like the deal should be the deciding factor.
vi) The broken down decision helped the girl understand that the deal was not what she really liked.
vii) true
viii) ‘drink’-noun

TS Inter 1st Year English Reading Comprehension Unseen Passages

30. Kumbh Mela

In my own city of Allahabad or in Haridwar, I would go to the great bathing festivals, the Kumbh Mela, and see hundreds of thousands of people come, as their forebears had come for thousands of years from all over India, to bathe in the Ganges. I would remember descriptions of these festivals written thirteen hundred years ago by Chinese pilgrims and others, and even then these meals were ancient and lost in unknown antiquity. What was the tremendous faith, I wondered, that had drawn our people for untold generations to this famous river of India ? [Revision Test – II]

Questions :
i) What is the phrase used in the passage to mean Kumbh Mela ?
ii) Kumbh Mela is a modem event, Say true of false.
iii) When did Chinese pilgrims write about this festival ?
iv) Can we say when exactly the festival began ?
v) What draws people to this famous river festival for so many years ?
vi) Write the word used in the passage to mean festival, fair.
vii) Write the synonym (from the passage) of ancestors.
viii) Write the noun form of describe.
Answers:
i) the great bathing festivals
ii) false
iii) thirteen hundred years ago
iv) No.
v) The tremendous faith
vi) ‘mela’
vii) forebears
viii) description-noun

TS Inter 1st Year English Reading Comprehension Unseen Passages

31. Where Shawdow Stays Stable !

Shadows keep changing positions and size, if the distance between the source of light and the object changes ! But at Chaya Someswara Temple at Panagal, dear Nalgonda, the shadow (Chaya, hence the name of the temple) of pillars stays constant on the lingam at any time, despite changes in the above said distance. The pillars of ardhamandapa and open spaces near the central shrine were designed and placed in such a way by the then architects as to produce this effect of stable shadow on the lingam all through the day.

A miracle one must see to believe ! Believed to have been built in the 11 century AD, the construction credits go to Kanduru Chodas. This thrikutalayam has three shrines dedicated to Lord Shiva, Vishnu and Surya. A common hall, mandapam, keeps these three shrines as one complex. Many intricately carved pillars, around this mandapam depict scenes from the Ramayana, the Mahabharatha and the Puranas ! [Revision Test – III]

Questions :
i) Describe the nature of shadows.
ii) Give an example of exception to this nature of shadows.
iii) Why is the temple called Chaya Someswara Temple ?
iv) What makes the temple also known as thrikutalayam ?
v) Who is believed to have built this unique temple ?
vi) Where does the shadow fall all through the day ?
vii) Is it the shadow of a single object ? Support your answer with a sentence from the passage.
viii) What do the pillars depict ?
Answers:
i) Shadows keep changing positions and sizes if the distance between the source of light and the object changes.
ii) the shadow of pillars at Chaya Someswara Temple at Panagal, near Nalgonda.
iii) ‘Chaya’ in Telugu, means shadow. As he shadow here stays stable all through the day on the Lingam, the temple is called Chaya Someswara Temple.
iv) as there are three shrines
v) Kanduru Chodas
vi) on the Linga?n
vii) No. “The pillars of… produce this effect of stable shadow.”
viii) scenes from the Ramayana, the Mahabharatha and the Puranas

TS Inter 1st Year English Reading Comprehension Unseen Passages

32. Maitri-lndeed a Friend in Need

The world is in a word, says Wordsmith. Words packed with positive vibrations can light up the dark world of narrowminded, selfish and loveless millions, says Ms Jalandhara, a writer, guide, mentor and most importantly, healer ! An incarnation of simplicity and modesty, Ms Jalandhara was born into the family of Gali Bala Sundara Rao (GBS), a godlike doctor and multifaceted personality. And she was married to Mr Chandra Mohan, a versatile, multi-lingual cine star.

Yet she shines like a star, uneclipsed between the two mighty personalities. With innumerable creative works-stories, novels etc.,-to her credit, shlfe seeks to promote peace in minds and homes with a missionary zeal. Unconditional and universal love is her panacea. Cite your problems to Maitri, a question-answer feature both online and offline, and prompt comes the solution in the form of thought-provoking counselling. Homes flourishing with smiles following her advice are innumerable all over the globe ! The true symbol of empowering woman! [Revision Test – IV]

Questions :
i) How can the dark world of millions be filled up with light ?
ii) What are the two traits highlighted here in the lead character’s personality ?
iii) Name the two prominent personalities mentioned here associated with her.
iv What is her mission ?
v) How does she seek to promote peace in minds and homes ?
vi) What is her panacea ?
vii) What does the central character stand for as a symbol ?
viii) Write the word used in the passage to mean cure-for-all.
Answers:
i) Words packed with positive vibrations can light up the dark world of millions.
ii) simplicity and modesty
iii) Gali Bala Sundara Rao, her father and Mr. Chandra Mohan, her husband.
iv) to promote peace in minds and homes
v) through her thought provoking counselling
vi) unconditional and universal love
vii) as a symbol of empowering woman
viii) panacea

TS Inter 1st Year English Reading Comprehension Unseen Passages

33. Innocence Unbeatable

Do you think you can confuse innocent kids easily ? Find out for yourself. Once a curious boy asked his mother, Mommy, why is your hair turning grey ? The mother tried to use this occasion to teach her child a lesson in behaviour. So, she said, “It is because of you, dear. Every bad action of yours will turn one hair grey.” Instantly came the retort from the inncoent boy, “Now I know why grandmother has only grey hair on her head.” Can you see who taught whom a lesson in manners ? [Revision Test – V]

Questions :
i) What is the message given in the passage ?
ii) What quality of the boy made him ask his mother a question ?
iii) How did the mother want to use this occasion ?
iv) Why would her hair turn grey, according to the mother ?
v) Was the mother true in saying that reason for her grey hair ?
vi) Did the boy take time to answer his mother ? Support your answer with a phrase from the passage.
vii) Write the word used in the passage to mean a witty, sharp reply.
viii) Find the antonym in the passage of experienced.
Answers:
i) One cannot confuse innocent kids easily.
ii) his curiosity
iii) to teach her child a lesson in behaviour
iv) Every bad action of her son would turn one of her hairs grey.
v) No, she wasn’t true.
vi) No, instantly came the innocent retort from the boy.
vii) ‘retort’
viii) ‘innocent’

TS Inter 1st Year English Reading Comprehension Unseen Passages

34. Beauty lies in …. …… …….

“A thing of beauty is a joy forever, says Keats. But what is real beauty ? A big question. Yet, people crave for beauty. And man’s (or woman’s) craze for beauty supports big business. Cosmetics cost a lot. Here is a list of priceless cosmetics. On being asked, a wise woman gives the list from the core of her heart. I use truth for my lips; prayer for my voice; kindness and compassion for my eyes; love for my heart; charity for my hands and finally, uprightness for my figure ! How long – lasting the cosmetic are ! How valuable they are ! Priceless possessions !   [Model Question Paper]

Questions :
i) What does Keats say about beauty ?
ii) What does the beauty business thrive on ?
iii) What list does the wise woman give us ?
iv) Where can one get the cosmetics the wise woman uses ?
v) What does that wise woman use to make her eyes look beautiful ?
vi) Describe the cosmetics the wise woman uses ?
Answers:
i) A thing of beauty is a joy forever.
ii) cosmetics
iii) the list of priceless (long-lasting) cosmetics
iv) in one’s heart
v) kind and compassion
vi) truth, prayer, kindness and compassion, love, charity and uprightness

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

Telangana TSBIE TS Inter 1st Year English Study Material Reading Comprehension Passages from Short Stories Exercise Questions and Answers.

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

Q.No. 6 (4 out of 6 Questions: 4 × 1 = 4)

Comprehension is a very important skill. It refers to the process of understanding the information presented in a written or oral text. In the Intermediate Public Examination (English) the students’ ability to understand a printed text is tested. This is, therefore, classified as ‘reading comprehension’. Understanding a spoken text is known as ‘listening comprehension’.

Comprehension needs a careful study of the given text. Apart from the explicit meaning there may be implicit meanings and inferences.

In the Public examination, questions of various types follow the given text. Understanding the questions properly is as or rather more, important as understanding the text. Reading the questions first, therefore, will be of some help in improving one’s comprehension skills.

Careful observation of the way the given language is used and regular practice will ensure mastering this all important skill-comprehension.

Exercises

Read the following passages and answer the questions given after them.

PLAYING THE GAME

1. Do his best! Of course he would. For Alan was playing in the school cricket match and was mightily proud of being chosen to play. He had practised bowling with his father for weeks now, and Daddy said he was shaping well. Daddy was nearly as excited as Alan over the match and he promised that if Alan’s side won he would buy him a bicycle.

Questions :
i) Do his best ! Of course he would. Who would be doing well ?
ii) What was he proud of ?
iii) How did he practise cricket ?
iv) What was his father’s promise ?
v) Write the antonym of win’.
vi) ‘Daddy was nearly as excited as Alan over the match ‘Here the adverb, ‘nearly’ means … Choose the answer.
a) almost
b) completely
c) quietly
d) happily
vii) What is the informal name of father mentioned in the passage ?
viii) Write the noun form of practise’.
Answers:
i) Alan
ii) He was proud of being chosen to play.
iii) He practised bowling with his father.
iv) Alan’s father promised him that if their side won the match, he would buy him a bicycle.
v) lose
vi) (a) almost
vii) daddy
viii) practice

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

2. “Where do you live, sir ?” called Alan at last in the old man’s ear.
“Up the road and some way round the corner, “he answered in his thin, weak voice. ” I should be so much obliged if you could see me home. You look a very kind little boy.” See him home ? And they were still a long way off! If only he could walk a little faster. Why, the teams would be already on the field, and the captain would be wondering why he did not come.

Questions :
i) What did Alan ask in the old man’s ear ?
ii) Where was the old man’s house ?
iii) What request did the old man make to Alan ?
iv) Why was Alan in a hurry ?
v) If only he could walk a little faster. Why did Alan want the old man to walk faster ?
vi) Why would the captain be wondering ?
vii) I should be so much obliged if you could see me home. Obliged in the sentence means ………. …………… Choose the answer.
a) forceful
b) thankful
c) polished
d) all the above
viii) Pick out the word from the passage which is the antonym of strong.
Answers:
i) “Where do you live, sir ?”
ii) up the road and some way round the corner.
iii) The old man requested Alan to see him home.
iv) He was in a hurry to reach the ground in time to play in the match.
v) because, he wanted to reach the ground in time
vi) The captain would be wondering why Alan did not come.
vii) (b) thankful
viii) weak

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

3. And in the classroom next morning the boys gave Alan three loud cheers, as only schoolboys can, for in some mysterious fashion they too had learned all about his kind act.

Questions :
i) From which story is this passage taken ?
ii) Who is the writer of the story from which this passage is taken ?
iii) Where and when did the schoolboys meet ?
iv) What did they do ?
v) Why did the boys give Alan three loud cheers ?
vi) What does the phrase three loud cheers mean ?
vii) How did the boys come to know about Alan’s kind act ?
viii) Pick out the word from the passage which means strange.
Answers:
i) “Playing the Game”
ii) Arthur Henry Mee
iii) in the classroom, the next morning.
iv) They gave Alan three loud cheers.
v) As they learned about Alan’s kind act in some mysterious way.
vi) Compliments conveyed through rhythmic claps in a joyous way
vii) in some mysterious fashion
viii) mysterious

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

4. “Bravo, Alan,” he said, patting his little son on the back. “But, Daddy,” began Alan. But his father interrupted him. “It’s all right, old man,” he said. “You see, I came up behind that policeman and he told me what had happened. So I knew you were playing the game although it wasn’t on the cricket pitch. So I went back into the High Street and bought the bicycle I promised you. It’s a beauty. And, Alan, we’re proud of you, your Mother and I.” [Revision Test-I]

Questions :
i) Who is the writer of the story from which this passage is taken ?
ii) Why did Alan’s father pat on his back ?
iii) How did Alan’s father come to know what had happened ?
iv) I came up behind that policeman. Did Alan’s father go to the spot where Alan helped the old man ?
v) Alans’ father says, ” ……………….. although it wasn’t on the cricket pitch.” Where did Alan play the game ?
vi) Why did Alan’s father buy the bicycle ?
vii) Why were they proud of Alan ?
viii) When would you use the expression, bravo ?
Answers:
i) Arthur Henry Mee
ii) to encourage and to appreciate what Alan had done
iii) through the policeman behind whom Alan’s father came
iv) Yes.
v) in the real world-in life-on the meadow
vi) to support and appreciate Alan’s service activities
vii) because Alan ‘played the game’ in its true sense
viii) When we want to appreciate someone’s achievement we use the word ‘bravo’.

THE FIVE BOONS OF LIFE

5. The man considered long, then chose Love; and did not mark the tears that rose in the fairy’s eyes.
After many, many years the man sat by a coffin, in an empty home. And he communed with himself, saying : “One by one they have gone away and left me; and now she lies here, the dearest and the last. Desolation after desolation has swept over me; for each hour of happiness the treacherous trader, Love, as sold me I have paid a thousand hours of grief. Out of my heart of hearts I curse him.”
Questions :
i) The man chose the gift Love at once, without thinking. Write true or false.
ii) With whom did the man commune ?
iii) The word rose used as a verb in the passage means came forth. As a noun, it means :
a) stood up
b) a flower
c) a fruit
iv) How is his sadness or loss expressed in the passage ?
v) Whom did the man call a treacherous trader ?
vi) ‘Out of my heart of hearts I curse him’… whom does the word him refer to ?
vii) Find the antonym of the word bless from the passage. ‘
viii) Write the word from the passage which means the box in which a dead body is buried or cremated.
Answers:
i) false
ii) He communed (talked) with himself,
iii) (b) a flower
iv) by saying to himself how love has left him in grief
v) Love
vi) Love
vii) curse
viii) coffin

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

6. “Choose yet again” It was he fairy’s voice.
“Two gifts remain. And do not despair. In the beginning there was but one that was precious and it is still here”.
“Wealth – which is power ! How blind 1 was !” said the man.
“Now, at last, life will be worth the living. I will spend, squander, dazzle. These mockers and despisers will crawl in the dirt before me, and I will feed my hungry heart with their envy.

Questions :
i) How many gifts had the man already chosen ?
ii) Did the man choose the precious gift before ? How do you know ?
iii) Who does the word I refer to in the sentence, “How blind I was !” ?
iv) With what would his life be worth the living ?
v) How would the man feed his hungry heart ?
vi) The man said that he was blind to the fact. What was the poet ?
vii) What was the man’s real motive in choosing wealth ?
viii) Write the synonym of the word jealousy from the passage.
Answers:
i) three
ii) No. Because the precious gift is still there.
iii) The word T refers to the man, the lead character in the story.
iv) with wealth
v) with the envy of his mockers and despisers.
vi) The fact is that wealth is power.
vii) to make his life worth the living and to make his mockers feel jealous of him.
viii) envy

7. The fairy came, bringing again four of the gifts, but Death was wanting. She said :
‘I gave it to a mother’s pet, a little child. It was innocent, but trusted me, asking me to choose for it. You did not ask me to choose.”
“Oh, miserable me ! What is left for me ?”
“What not even you have deserved: the wanton insult of Old Age.” [Revision Test – II]
Questions :
i) The fairy brought the gift, Death too. Say Yes or No.
ii) Who does the word I refer to ?
iii) What did the fairy give little child ?
iv) What is the epithet used to describe the little child ?
v) The man didn’t repose faith in the fairy. Write true or false.
vi) What was left for the man ?
vii) Write the word from the passage that means very unhappy.
viii) Write the antonymn of the word intelligent from the passage.
Answers:
i) No
ii) The word T refers to the fairy,
iii) Death
iv) a mother’s pet
v) true
vi) not even what he deserved; the wanton insult of old age
vii) miserable
viii) innocent

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

8. “The years have taught you wisdom-surely it must be so.
Three gifts remain. Only one of them has any worth-remember it, and choose warily.”
The man reflected long, then chose Fame; and the fairy, sighing, went her way.
Years went by and she came again, and stood behind the man where he sat solitary in the fading day, thinking. And she knew his thought. [Model Question Paper]
Questions :
i) Two of the remaining gifts are worthy. Write true or false.
ii) What did the man opt this time ?
iii) Was the fairy happy with his selection ?
iv) Which word in the passage indicates that the man was alone ?
v) Write the synonym of the word renown from the passage.
vi) Write the word from the passage which means disappearing gradually.
Answers:
i) false
ii) fame
iii) No, the fairy was not happy.
iv) solitary
v) fame
vi) fading

THE SHORT-SIGHTED BROTHERS

9. “Three elderly brothers, all very short-sighted, lived in a large house on the outskirts of a city, in China. One day the youngest brother suggested that he should take charge of the finances. “Elder brother’s sight is so bad, he cannot see how much money he’s receiving or giving,” he said, “and people take advantage of his disability.”

Questions :
i) Where did the three brothers live ?
ii) What did the youngest brother propose one day ?
iii) How did the youngest brother support his claim ?
iv) How would people take the eldest brother’s short-sightedness, according to the youngest brother ?
v) Was the youngest brother sincere in his suggestion ?
vi) Their sight problem was negligible. Is it true or false ?
vii) Give the synonym of edge from the passage.
viii) Write a set of antonyms you find in the passage as good is the antonym of bad’.
Answers:
i) in a large house on the outskirts of a city, in China.
ii) that he should take charge of the finances.
iii) That his eldest brother’s sight was so bad that he couldn’t see how much money he was receiving or giving
iv) People would take advantage of the eldest brother’s disability.
v) No. The youngest brother was not sincere.
vi) False. They were all very short-sighted, outskirts
viii) receiving × giving

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

10. ‘The tablet has a flowery border”. The second brother went away very pleased with himself. Hardly had he gone when the third brother arrived there. He too enquired about the inscription and on being told what it was, asked if there was any other writing on it.” “Only the donor’s name, Wang Lee, at the bottom,” said the monk.

Questions :
i) What did the tablet have for its decoration ?
ii) Who answered the question about its decoration ?
iii) Who was very happy to know about that decoration ?
iv) When did the third brother reach the monastery ?
v) What did the youngest brother want to know particularly ?
vi) Where was the donor’s name mentioned ?
vii) Why was the second brother happy with himself ?
viii) Write the antonym of departed from the passage.
Answers:
i) a flowery border
ii) the monk
iii) the second brother
iv) hardly when the second brother had gone away from the monastery
v) if there was any other writing on the tablet
vi) at the bottom of the tablet
vii) as he thought he alone learnt about the inscription and the flowery decoration
viii) arrived

11. The monk they had talked to the previous evening came out of the monastery just then and walked towards the short sighted brothers.
“Oh you’ve come to see the inscription,” he said. “So sorry. We couldn’t put it up yesterday evening. We are going to put it up today.”
The short-sighted brothers realised their follies.
Questions :
i) When did they all talk to the monk ?
ii) Did each brother know that the others also had talked to the monk ?
iii) Where did the monk go ?
iv) Why did the monk say sorry ?
v) What does the word it refer to?
vi) When were they going to put it up ?
vii) What did the brothers realise ?
viii) They didn’t put up the inscription as originally scheduled. How did it help the brothers ?
Answers:
i) The previous evening
ii) No. They did not know about the others’ visit.
iii) The monk went towards the short-sighted brothers.
iv) Because they couldn’t put up the tablet the previous evening, the monk, said sorry.
v) The word ‘it’ refers to ‘the tablet’.
vi) They were going to put up the tablet that day.
vii) They realised their follies.
viii) It helped the brothers realise their follies.

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

12. “I have my doubts about that,” said the eldest brother. “Let’s settle this once and for all. I’ve heard the monastery is putting up a tablet inscribed with a saying, above the main doorway, tonight. Let’s go there tomorrow and test our vision. Whoever can read the inscription with the least strain will get charge of our money. Agreed ?” [Revision Test – III]

Questions :
i) Name the story from which this passage is taken.
ii) Who does “I” in the paragraph refer to ?
iii) What did the speaker want to settle once and for all ?
iv) What did the speaker come to know of ?
v) Where should they go to get their vision tested, the following day ?
vi) Who would get the charge of their money, according to the proposal ?
vii) When was the monastery putting up a tablet above their doorway ?
viii) Write the word that is used in the passage that means a place where monks live.
Answers:
i) The Short-sighted Brothers.
ii) “I” in the paragraph refers to the eldest brother.
iii) as to who among the three brothers had a better sight.
iv) of the monastery putting up a tablet inscribed with a saying, above the main doorway, that night.
v) to the monastery
vi) the one who could read the inscription with the least strain
vii) on that night (when this discussion in the story was going on)
viii) monastery

SANGHALA PANTHULU

13. Thus, things were moving happily. But the farmers were perturbed. They observed the lives of people on the other side of the river Krishna ruled by the British and found that people were happy there. There was no drudgery, no penalties-no beatings either. But if the people of Ramasagaram were to migrate to that side leaving the households and assets earned by their ancestors and their caste trades as well, how would they live ?

Questions :
i) “Thus, things were moving happily.” ‘Happily’ to whom ?
ii) What did the farmers observe ?
iii) What did the farmers find out ?
iv) What was the reason for the vast difference in the lives of Ramasagaram people and that of those living on the other side of the river ?
v) Was it possible for the people of Ramasagaram to migrate to the other side of the river ?
vi) Give the word from the passage that means disturbed /worried Anxious .
vii) According to the passage, two groups of persons were happy. Name those two groups.
viii) Write the Noun form of the word migrate.
Answers:
i) moving happily to the police personnel
ii) observed the lives of people on the other side of river Krishna ruled by the Britishers.
iii) found that people on the other side of river Krishna were happy
iv) The reason : Ramasagaram was under the Nizam’s rule and the village on the other side of river Krishna was ruled by the Britishers.
v) No, it was not possible for them to migrate.
vi) ‘perturbed’
vii) the police; the people on the other side of river Krishna
viii) ‘migration’

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

14. In the evening, about five hundred people gathered under the peepul. Pahthulu explained about the nature of drudgery to all of them. He also taught them legal points. He insisted that nobody should agree to drudgery if wages were not paid. While the meeting was still going or, Ameen Saab arrived pompously on a horse along with eight jawans. “Panthulu, are you aware of the Nizam’s Act number 53 pertaining to patrolling ?!’ asked the Ameen.

Questions :
i) Where did the people assemble ?
ii) What did Panthulu explain to them ?
iii) The villagers meeting under the peepul tree already knew legal points. Say true or false
iv) What did Panthulu insist on ?
v) When did the Ameen Saab come there ?
vi) What did Act number 53 deal with ?
vii) Write the antonym of modestly from the passage.
viii) The passage pictures Panthulu as a man (fill in).

  1. interested in legal practise
  2. promoting violence
  3. committed to the cause of the common man <
  4. serving the purpose of the police

Answers:
i) under the peepul tree
ii) about the nature of drudgery
iii) false
iv) that nobody should agree to drudgery if wages were not paid
v) while the meeting was still going on
vi) with patrolling
vii) pompously
viii) (3) committed to the cause of the common man

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

15. After a week, the Mohathemeem arrived. The police didn’t divulge the disgrace they faced. But they recorded that Panthulu had instigated the villagers to revolt by trying to run a parallel government. They also mentioned that if the army was not sent, a great danger was looming large. The Mohathemeem summoned the farmers and inquired with them about the incident.

Questions :
i) Why did the Mohathemeem come to Ramasagaram ?
ii) What did the police hide from the Mohathemeem ?
iii) What did the police charge Panthulu with ?
iv) What did the police request for ?
v) Who did the Mohathemeem call to know more about the incident ?
vi) Write the idiomused in the passage that means something very frightening was certain to happen.
vii) Write the synonym from the passage of called.
viii) Name the part of speech of divulge.
Answers:
i) to inquire into the reported violence
ii) the disgrace the police faced
iii) that Panthulu instigated the villagers to revolt by trying to run a parallel government.
iv) for the army to be sent to the village
v) the farmers
vi) looming large
vii) summoned
viii) verb

16. The news about the arrived of the elderly man from city had spread in the village by morning. The villagers said he was a tall stout man. He helped form associations in villages. He sported a kerchief like lawyers do. He brought a leather suitcase which was full of books. He knew all the bigwigs in the city. He would do away with all our troubles. [Revision Test – IV]
Questions :
i) Name the story from which this passage is taken.
ii) Who does the phrase the elderly man refer to ?
iii) How would the elderly man help the villagers ?
iv) What did he bring with him ?
v) The villagers talked about the elderly man ………………… (fill in).

  1. adversely
  2. appreciatively
  3. accusingly
  4. arrogantly

vi) Find the Phrasal Verb used in the passage that means put an end to; eliminate.
vii) The word sported as used in this passage means ……………… (fill in).

  1. game
  2. athletics
  3. wore

played
viii) Find the passage the Antonym of lean.
Answers:
i) Sanghala Panthulu
ii) Sanghala Panthulu
iii) He would help the villagers form associations and solve their problems.
iv) a leather suitcase, full of books
v) (2) appreciatively
vi) do(es) away with
vii) (3) wore
viii) stout

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

THE DINNER PARTY

17. A spirited discussion springs up between a young girl who insists that women have outgrown the jumping-on-a-chair-at-the-sight-of-a-mouse era and a colonel who says that they haven’t. “A woman’s unfailing reaction in any crisis,” the colonel says, “is to scream. And while a man may feel like it, he has that ounce more nerve control than a woman has. And that last ounce is what counts.”

The American does not join in the argument but watches the other guests. As he looks, he sees a strange expression come over the face of the hostess. She is staring straight ahead, her muscles contracting slightly. With a slight gesture, she summons the native boy standing behind her chair and whispers to him. The boy’s eyes widen: he quickly leaves the room. Of the guests, none except the American notices this or sees the boy place a bowl of milk on the veranda just outside the open doors.

Questions :
i) What are the young girl and the colonel arguing about ?
ii) The American joins the discussion. Say true or false.
iii) What does the American naturalist notice ?
iv) What does the hostess want the servant to do ?
v) Identify the synonym of calls from the passage.
vi) Find the antonym of familiar in the passage.
vii) “…………. he has that ounce more nerve control than a woman has. “What does the word nerve mean ?
viii) Pick out the word that fits the meaning of making narrower in the passage.
Answers:
i) about the nerve control of women
ii) false
iii) a strange expression on the face of the hostess
iv) to place a bowl of milk on the veranda just outside the open doors
v) summons
vi) strange
vii) emotions-anxiety
viii) contracting

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

18. “I want to know just what control everyone at this table has. I will count to three hundred- that’s five minutes-and not one of you is to move a muscle. Those who move will forfeit fifty rupees . Ready !”

The twenty people sit like stone images while he counts. He is saying. two hundred and eighty…” when, out of the corner of his eye, he sees the cobra emerge and make for the bowl of milk. Screams ring out as he jumps to slam the veranda doors safely shut.

‘You were right, Colonel!” the host exclaims. “A man has just shown us an example of perfect control.” “Just a minute,” the American says, turning to his hostess. “Mrs. Wynnes, how did you know that cobra was in the room ?” A faint smile lights up the woman’s face as she replies : “Because it was crawling across my foot.”

Questions :
i) What is the proposal from the American ?
ii) What does the American do to make the guests at the party stay stable ?
iii) Pick out the word which means lose as punishment from the passage.
iv) Pick out the word from the passage that means weak or dull.
v) Why does the American shut the doors ?
vi) How does the American react, when the host gives credit to him for having the most control?
vii) What does the hostess prove to her guests ?
viii) When does the cobra come out ?
Answers:
i) that he will count to three hundred and none of them is to move a muscle
ii) To make, the guests say stable and silent, the naturalist throws a challenge at them.
iii) forfeit
iv) faint
v) for safety, to prevent the snake from coming back again
vi) He asks them to wait and proves to them who really has the nerve control.
vii) The hostess proves to the guests that she has lots of nerve control.
viii) When the naturalist is saying two hundred and eighty.

TS Inter 1st Year English Reading Comprehension Passages from Short Stories

19. The country is India. A colonial official and his wife are giving a large dinner party. They are seated with their guests-army officers and government attaches and their wives, and a visiting American naturalist-in their spacious dining room, which has a bare marble floor, open rafters and wide glass doors opening onto a veranda. [Revision Test – V]

Questions :
i) In which country is this story set ?
ii) Who is the host of the party ?
iii) Where is the party arranged ?
iv) What is synonym for the word porch in the passage ?
v) Who is the special guest in the party ?
vi) Describe the place where the dinner is hosted.
vii) Write the antonym of narrow from the passage.
viii) Identity the word from the passage that means touring.
Answers:
i) in India
ii) a colonial official and his wife
iii) in the spacious dining room of the hosts
iv) veranda
v) a visiting American naturalist
vi) a spacious dining room with a bare marble floor, open rafters and wide glass doors opening onto a veranda
vii) spacious
viii) visiting

TS Inter 1st Year English Grammar Transformation of Sentences

Telangana TSBIE TS Inter 1st Year English Study Material Grammar Transformation of Sentences Exercise Questions and Answers.

TS Inter 1st Year English Grammar Transformation of Sentences

Q. No. 13 (4 × 1 = 4)

A. VOICE

The term ‘voice’ in grammar refers to one aspect of the verb. If the verb group in a sentence has ‘be + pp of the verb’, that sentence is said to be in the passive voice. If any of or both the elements (be + V3) are missing in the structure of the verb, the sentence is said to be in the active voice. (వాక్యంలోని verb groupలో ‘be + V3 ఉంటే ఆ వాక్యాన్ని passive voice అని, be + V3 లలో ఏ ఒక్కటి లేకున్నా active voice అని అంటారు.)

If the verb is in the passive form, the subject of that sentence is just the ‘sufferer’ of the action indicated by the verb, (verb passive లో ఉంటే ఆ వాక్యంలోని subject, verb సూచించిన పని ఫలితాన్ని అనుభవిస్తుంది. అందుకనే ఈ రూపానికి ‘passive’ ‘సోమరిగా’, ‘పనిచేయకుండా’ అని పేరు.)

If the verb group is in the active voice, the subject of that sentence is the ‘doer’ of the action shown by the verb. (Verb Active voice లో ఉన్నప్పుడు, ఆ వాక్యం యొక్క subject, verb సూచించిన పనిని చేస్తుంది. అందుకే ఈ రూపానికి ‘Active చురుకుగా పనిచేస్తున్న’ అని పేరు)

If the doer of an action is either unimportant or unknown, the passive structure is natural. (పనిచేసినవారు ప్రధానం కాకున్నా, తెలియకున్నా, passive నిర్మాణాలు సహజంగా ఉంటాయి. )

Someone admitted him to the hospital immediately. (AV)
He was admitted to the hospital immediately. (PV)
He was killed in the war.
Rice is grown in many parts of Telangana and Andhra Pradesh.
English is spoken all over the world.
The roads have been swept The syllabus was changed last year.
The shop has been closed.
The doubts have been cleared by my teacher Agent

TS Inter 1st Year English Grammar Transformation of Sentences

Transformation of sentences from one voice to the other involves five steps.

1. The object in the Active Voice sentence becomes the subject in the Passive Voice sentence.
Ex : They made (ten kites)Object (A.V)
(Ten kites) Subject were made by them. (P.V.)

If there are two objects in the A.V. sentence, either of them can be made the subject in the PV. sentence.
TS Inter 1st Year English Grammar Transformation of Sentences 1
An interesting book was given to her brother by her.

Active :

  1. I told them an interesting story.
  2.  I told an interesting story to them.

Passive:

  1. An interesting story was told to them.
  2. They were told an interesting story.

2. A suitable ‘be’ form is to be introduced. This is the most important step. Selection of the right be’ form is based on two factors : (a) the number and person of the subject in the passive voice and (b) the tense of the verb in the Active Voice.
The following table helps one select the right be form.

S. No.Subject in the Passive VoiceTense of the verb in Active Voice‘Be form to be used in the Passive Voice
1ISimple Presentam
2he, she, it singlar nounsSimple Presentis
3We, you, they plural nounsSimple Presentare
4I, he, she, it singular nounsSimple Pastwas
5We, you, they plural nounsSimple Pastwere
6IPresent Continuousam being
7he, she, it singular nounsPresent Continuousis being
8We, you, they plural subjectsPresent Continuousare being
91, he, she, it singular nounsPast Continuouswas being
10We, you, they plural subjectsPast Continuouswere being
11 ‘he, she, it Singular nounsPresent Perfecthas been
12I, we, you, they plural nounsPresent Perfecthave been
13Any subjectPast Perfecthad been
14Any subjectwill/shall/can/ may/would should/could/ might/ must, etc.will, etc. +be
15Any subjectwill etc + havewill, etc. + have been

TS Inter 1st Year English Grammar Transformation of Sentences 2

3. The main verb in the Active Voice sentence is to be changed into its past participle form. One must know the correct past participle forms of irregular verbs.
TS Inter 1st Year English Grammar Transformation of Sentences 3

TS Inter 1st Year English Grammar Transformation of Sentences

4. The preposition ‘by’ is used.

5. The subject in the Active voice sentence is made the object of the preposition ‘by’ in the passive voice sentence.
Ex : He broke the glass. (A.V.)
The glass was broken by him. (P.V.)
prep+object
If the subject in the A.V. sentence is either unimportant or a general one, ‘by + object’ may be dropped.
Ex : Someone removed the dead snake. (A.V.)
The dead snake was removed. (P-V.)
(by someone’ is dropped)
People call him ‘Babuji’. (A.V.)
He is called ‘Babuji’. (‘by people’ not necessary) (P.V.)

CHANGE IMPERATIVE SENTENCES INTO PASSIVE

We follow a slightly different method to change imperative sentences from the A.V. to the P.V. (Sentences with dropped subject and with V + object structure, conveying a request or an order are called imperative sentences.)
1. The passive voice sentence begins with ‘Let’.
Ex : Close the door. (A.V.) imperative
Let the door be closed. (P.V.)

2. The object in the A.V. sentence becomes the subject in the RV. sentence.
Answer this question. (A.V.)
Object
Let this question be answered. (P.V.)
Subject

3. The ‘be’ form ‘be’ is introduced.
(Whatever be the subject or the tense form, it is always ‘be’ in imperative sentences.)
Ex : Clean the room. (A.V.)
Let the room be cleaned. (P.V.)

TS Inter 1st Year English Grammar Transformation of Sentences

4. The M.V. is changed into its Past Participle form.
Ex : Paint this chair. (A.V.)
M.V.
Let this chair be painted. (P.V.)
As the subject is not explicit in the imperative sentences, the need to use ‘by’ and its object doesn’t arise, while changing imperative sentences into the passive voice.

CHANGING QUESTIONS INTO PASSIVE

Study carefully the transformation of the interrogative sentences into the passive voice.
Ex : Who brought this book ? (A.V.)
By whom was this book brought ? (P.V.)
All the steps followed here are exactly like those we follow in changing the declarative sentences. But the word order is different.
By whom + be + Subject + M.V in PP + etc ?
Nbw, notice the transformation of Questions with other ‘wh’ words.
Ex : Where did you put my pen ? (A.V.)
Where was my pen put ? (P.V.)
‘Wh’ word + be + subject + MV in PP ?
Observe how ‘yes / no’ Questions are rewritten in the passive voice.
Have you solved the problem ? (A.V.)
Has the problem been solved ? (P.V.)
Helping Verb + Subject + be + MV in pp + etc. ?

EXAMPLES
1. Advertise the post. (A.V.)
Let the post be advertised. (P.V.)

2. America imports Indian tea. (A.V.)
Indian tea is imported by America. (P.V.)

3. The auditors are checking the accounts. (A.V.)
The accounts are being checked by the auditors. (P.V.)

4. They have sent the information. (A.V.)
The information has been sent. (P.V.)

5. Hurry can gain nothing. (A.V.)
Nothing can be gained by hurry. (P.V.)

TS Inter 1st Year English Grammar Transformation of Sentences

6. Put the culprit in prison. (A.V)
Let the culprit be put in prison. (P.V.)

7. John teaches us English. (A.V.)
We are taught English by John. (P.V.)
English is taught to us by John. (P.V.)

8. The Manager sent a mail yesterday. (A.V)
A mail was sent by the manager yesterday. (P.V)

9. The conductor has issued tickets to all the passengers. (A.V.)
Tickets have been issued to all the passengers. (P.V.)
All the passengers have been issued tickets. (P.V.)

10. Narayana Murthy started Infosys. (A.V.)
Infosys was started by Narayana Murthy. (P.V.)
Look at the following sentence and observe the changes.
TS Inter 1st Year English Grammar Transformation of Sentences 4

TenseActive VoicePassive Voice
Simple presentFloods cause a lot of damage.am/are/is+v3(past participle)
A lot of damage is caused by floods
Present continuousThe gardener is watering the plants.am/are/is+being+v3
The plants are being watered by the gardner.
Present perfectWe have organized a special programme for children.have/has+been+v3 A special programme has been organized for children (by us).
Simple pastRaghavendar Rao directed the film ‘Annamayya’.was/were + v3
The film Annamayya’ was directed by Raghavendar Rao.
Past continuousWhen they were shifting the patient to the ICU, he died.Was / were + being v3
When the patient was being shifted to the ICU, he died.
Past perfectThe driver had already alerted the passengers before the robbers entered the bus.had + been + v3
The passengers had already been alerted before the robbers entered the bus.
Simple futureI will conduct a spelling – contest tomorrow.shall/will + be + v3
A spelling – contest will be conducted tomorrow.
Future perfectThey will have decorated the hall by evening.shall / will + have + been + v3
The hall will have been decorated by evening.
The future of intention (be going to)Keeravani is going to compose music this song.is going to be + v3
Music is going to be composed by Keeravani for this song.
Modal veibs (should, must, ought to, can, etc.)I will type this letter tomorrow.should/would/must/tought/can + be + v3
ThisletowiBbetypedbyrnetorrKxrcw.
It is said (that) or subject+is said to beVillagers say that there is a ghost in the old building.It is said that there is a ghost in the old building.
ImperativeCheck the spelling.Let…. be + v3
Let the spelling be checked.

EXERCISES

I. Change the following sentences into the passive voice.

1. We practise yoga every day in the morning.
2. He will make all the arrangements.
3. The judge declared the verdict.
4. They had already announced the results before we entered the hall.
5. Many students sacrificed their precious lives for Telangana.
6. The students borrowed some books from the library.
7. Nobody can save him.
8. How much loan amount has the Bank sanctioned ?
9. One should wear a helmet while riding a two-wheeler.
10. Money alone cannot solve all problems.
11. Switch off the lights.
12. Please maintain silence in the prayer hall.
13. We have to undergo many formalities for getting a visa.
14. The workers called off the strike.
15. The teacher is explaining the lesson.
16. The postman will deliver the letters at noon.
Answers:
1. Yoga is practised by us every day in the morning.
2. All the arrangements will be made by him.
3. The verdict was declared by the judge.
4. The results had already been announced before we entered the hall.
5. Their precious lives were sacrificed by many students for Telangana.
6. Some books were borrowed by the students from the library.
7. He cannot be saved.
8. How much loan amount has been sanctioned by the Bank ?
9. Helmet should be worn while riding a two-wheeler.
10. All problems cannot be solved by money.
11. Let the lights be switched off.
12. Let silence be maintained in the prayer hall.
13. Many formalities have to be undergone for getting a visa.
14. The strike was called off by the workers.
15. The lesson is being explained by the teacher.
16. The letters will be delivered by the postman at noon.

TS Inter 1st Year English Grammar Transformation of Sentences

II. Change the following sentences into the active voice.

1. The parcels will be delivered at any time (by the courier agents)
2. Surya was invited to tea by Chandra.
3. Traffic rules should be followed.
4. Vegetables are washed before cooking.
5. Let the following sentences be changed into the passive voice.
6. How many times were you reminded of the medicine ?
7. Let the dustbin be kept away from the eatables.
8. Hpve all your friends been invited to your birthday ?
9. Every sentence can’t be changed into the passive voice.
10. If the ointment isn’t applied to the wound, it will not heal.
11. My brother has never been beaten at chess by anyone in his school.
12. It is believed that Sammakka and Saralamma are the saviors of their lives in times of crisis by the villagers.
Answers:
1. The courier agents will deliver the parcels at any time.
2. Chandra invited Surya to tea.
3. One (We) should follow traffic rules.
4. We wash vegetables before cocking.
5. Change the following sentences into the passive voice.
6. How many times did I (we) remind you of the medicine ?
7. Keep the dustbin away from the eatables, (food)
8. Have you invited all your friends to your birthday party ?
9. One (We) can’t change every sentence into the passive voice.
10. If you don’t apply the ointment to the wound, it will not heal.
11. No one in his school has ever beaten my brother in chess.
12. The villagers believe that Sammakka and Saralamma are the saviours of their lives in times of crisis.

TS Inter 1st Year English Grammar Transformation of Sentences

III. Change the following sentences into the passive voice.

1. Rainwater fills potholes on roads.
2. He is buying a TV set at the moment.
3. I have been growing plants since 1990.
4. They were reading the newspaper.
5. She had answered it already.
6. I will write an essay tonight.
7. You will have posted it by Monday.
8. Can she play the violin ?
9. They may not telecast it.
10. One must do one’s duty.
11. Gall in the doctor.
12. Close the door.
13. The Government has to do it.
14. Someone has already cast my vote.
15. Who could help him ?
Answers:
1. Potholes on roads are filled with (by) rainwater.
2. A TV set is being bought by him at the moment.
3. Plants have been being grown by me since 1990.
4. TKe newspaper was being read (రెడ్) by them.
5. It had already been answered by her.
6. An essay will be written by me tonight.
7. It will have been posted by you by Monday.
8. Can the violin be played by her ?
9. It may not be telecast, (by them)
10. One’s duty must be done, (by one)
11. Let the doctor be called in.
12. Let the door be closed.
13. It has to be done by the Government.
14. My vote has already been cast, (by someone)
15. By whom could he be helped ?

TS Inter 1st Year English Grammar Transformation of Sentences

IV. Change the following into Active Voice.

1. He was seen crossing the road.
2. You are advised to be careful.
3. Let the picture be seen by me.
4. Her purchases were paid for by me.
5. There are no shops to be let.
6. She has been selected their monitor (by the class)
7. It is said that the earth is round.
8. The road had been repaired.
9. I am surprised at this news.
10. It is hoped that I shall win.
Answers:
1. We saw him crossing the road.
2. We advise you to be careful.
3. Let me see the picture.
4. I paid for her purchases.
5. There are no shops to let (out).
6. The class has selected her their monitor.
7. People say that the earth is round.
8. They had repaired the road.
9. This news surprises me.
10. I hope that I shall win.

TS Inter 1st Year English Grammar Transformation of Sentences

V. Change the following sentences into the passive voice.

1. I have made a mistake.
2. Your students will respect you a great deal more for your frankness and honesty.
3. Call the attention of your near neighbour at the table to the excellence of the coffee.
4. Do you apply Pythagoras Theorem or Newton’s Law of Gravity ?
5. Rahul lost a quarter mark in English.
6. She planted trees; fenced, watered and guarded them.
7. Their hope and encouragement gave me greater strength.
8. Instantly remove that hatter.
Answers:
1. A mistake has been made by me.
2. You will be respected by your students a great deal more for your frankness and modesty.
3. Let the attention of your near neighbour at the table be called to the excellence of the coffee.
4. Is Pythagoras Theorem or Newtons Law of Gravity applied by you ?
5. A quarter mark in English was lost by Rahul.
6. Trees were planted, fenced, watered and guarded by her.
7. I was given greater strength by their hope and encouragement. (OR) Greater strength was given to me by their hope and encouragement.
8. Let that hatter be removed instantly.

TS Inter 1st Year English Grammar Transformation of Sentences

B. DIRECT SPEECH AND INDIRECT SPEECH/REPORTED SPEECH

Sometimes it becomes necessary to report a person’s words. It can be done in two different ways. One -way is to reproduce the actual words of the speaker. The speaker’s actual words are shown in quotation marks in writing. This kind of reporting is called the ‘Direct Speech’.

The other kind is to express the idea of the speaker in the reporter’s words. This type is referred to as the ‘Indirect Speech’.
(ఒక వ్యక్తి అన్న మాటలకు అన్నట్లుగా తిరిగి చెబితే Direct Speech. కేవలం భావం మాత్రమే తిరిగి చెబితే Indirect Speech.)

The sentence in the Direct Speech has two parts. They are (a) the part outside the quotation marks (called the reporting part and (b) the part within the quatation marks (called the reported part).
TS Inter 1st Year English Grammar Transformation of Sentences 5
The verb in the reporting part is called “the reporting verb.”
“Don’t make a noise,” said the teacher. (Reporting verb)
To change a sentence from the direct speech to the indirect speech, the following steps are to be followed.

1. The reporting part is to be written first. This is applicable only when the reporting part is either in the middle or at the end of the sentence.

Direct Speech :
“Ramu has solved all the problems.” said the teacher (Reporting part at the end)
Indirect Speech :
The teacher said that Ramu had solved all the problems. Reporting part begins the sentence.

TS Inter 1st Year English Grammar Transformation of Sentences

2. The order of the words in the reporting part is arranged as “Subject + Verb.” This is applicable only when this order is not followed in the direct speech sentence.
TS Inter 1st Year English Grammar Transformation of Sentences 6

3. The reporting verb is changed to words like ordered, requested, enquired, told, asked, ad-vised exclaimed, depending on the meaning of the reported part.
TS Inter 1st Year English Grammar Transformation of Sentences 7

4. The quotation marks and the comma between the reporting and reported parts are removed in the indirect speech.
Ex : The boy said,” This plant has grown very tall.” (D.S.)
The boy said that plant had grown very tall. (I.S.)

5. A suitable connecting word is used to connect the reporting and reported parts. The selection of the right connecting word needs careful observation.
The following table will help you to select the right word.

SI.No.Sentence in quotation marksConnecting word
1.Assertive or Exclamatorythat
2.Imperativeto
3.Yes/No type Questionif or whether
4.‘Wh’ type QuestionNo connecting word

TS Inter 1st Year English Grammar Transformation of Sentences 8

TS Inter 1st Year English Grammar Transformation of Sentences

6. The pronouns in the reported part are to be changed suitably. This depends on the first speaker, the speaker’s listener, the reporter and the reporter’s listener. One has to ensure that the original speaker’s intention is correctly reported. (Indirect speech లోకి మార్చేటప్పుడు, ఎవరు ఎవరితో అన్న మాటలను తిరిగి ఎవరు ఎవరికి చెబుతున్నారు అనే దానిని బట్టి pronouns మారతాయి. మొదట మాట్లాడిన వ్యక్తి ఉద్దేశ్యం మారకుండా సరిగ్గా చెప్పడం అవసరం.)

Now notice the following examples carefully :
a) The teacher said to you, ‘You are late again.” (D.S.)
The teacher told you that you were late again. (I.S.) ‘you’ not changed.

b) The teacher said to me, “You have improved your performance.” (D.S.)
The teacher told me that I had improved my performance.
You → 1 & Your → my

c) The teacher said to Geetha, “You have to submit your assignments tomorrow.” (D.S.)
The teacher told Geetha that she had to submit her assignments the following day. (I.S.)
You → she and you → her

d) The teacher said to Prudhvi, “When will you finish your computer course” ? (D.S.)
The teacher asked Prudhvi when he would finish his computer course. (I.S.)
You → he and your → his

e) The teacher said to the students, “You must consult your parents.” (D.S.)
The teacher told the students that they should consult their parents. (I.S.)
You → they and Your → their
As the examples a, b, c, d and e show you, pronouns change in accordance with the speaker’s reference to a person/persons.

7. In changing sentences into the indirect speech, the tense form of the verbs in the reported part is to be changed. This is the most important part of the transformation. This is done in accor-dance with the concept popularly known as “the sequence of tenses.” (Reported part లోని verbs tenses మార్చడం అతి ప్రధాన భాగము దీనిని ‘Sequence of tenses’ అనే నియమానుసారంగా )
The following table clearly shows when and how to change the tense.
TS Inter 1st Year English Grammar Transformation of Sentences 9
TS Inter 1st Year English Grammar Transformation of Sentences 10
TS Inter 1st Year English Grammar Transformation of Sentences 11

TS Inter 1st Year English Grammar Transformation of Sentences

8. The next step in the transformation from the direct to the indirect is to change the adjectives or adverbs showing ‘nearness to those showing ‘distance as explained in the following table:

SI.Ajjective / AdverbAdjective or Adverb
No.in ‘direct speech’in ‘indirect speech’
1.thisthat
2.thesethose
3.herethere
4.nowthen
5.today/tonightthat day/that night
6.yesterdaythe previous day/ the day before
7.tomorrowthe next day/the following day
8.agobefore

9. The transformation from the direct to the indirect involves a change in the word order. This principle is applicable to interrogative and exclamatory sentences only. This is exemplified in the table given below.

SI. No.Word order in Direct Speech with examplesWord order in Indirect Speech with examples
1… Helping verb+subject+ Main verb
… said … “are you coming”…
subject-1-Helping verb+Main
verb
asked … you were / coming
2Helping verb 4- subject + Main verb
said … do you like …
subject +…… + Main verb

asked … he …. liked

3‘wh’ word+adj/adv+ subject + verb said “How beautiful + the toy is …subject + verb + intensifier adj/adv exclaimed – the toy was very n beautiful.

Note that the ‘wh’ word in exclamatory sentences doesn’t have the meaning of a question. It just emphasises the adjective or adverb. Hence this ‘wh’ word in the direct speech becomes the intensifier ‘very’ in the indirect speech.

TS Inter 1st Year English Grammar Transformation of Sentences

10. The last step in this kind of transformation is to change the ‘Question mark’ or the ‘exclamatory mark’ into a full stop in the indirect speech.

You must note that all the Ten steps detailed above are not necessary to follow in the case of all kinds of sentences. You carefully check which steps are necessary and which steps are not necessary to follow in changing a given sentence.

EXAMPLES

1. Direct speech:
Reporter : Are you a vegetarian or non-vegetarian?
Bernard Shaw : I don’t want to make my stomach a burial ground for dead animais.
Reporter : How wonderful your answer is!
Bernard Shaw : Thank you for your compliments.

Indirect speech :
A reporter asked the famous writer Bernard Shaw whether he was a vegetarian or a non-vegetarian. Bernard Shaw replied that he didn’t want to make his stomach a burial ground for dead animals. The reporter responded that it was a wonderful answer. Bernard Shaw thanked him for his compliments.

3. Gandhi said, “I respect all religions.” (D.S)
Gandhi said that he respected all religions. (I.S)

4. He said to me, “Who is your favourite politician ?” (D.S)
He asked me who my favourite politician was (I.S)

5. An American said, “How hard-working Indians are !” (D.S)
An American exclaimed that Indians were hard-working. (I.S)

6. A customer said to the manager, “Can you do me a favour ?” (D.S)
A customer requested the manager to do him/her a favour. (I.S)

7. Abdul Kalam said, “I have come from a poor background.” (D.S)
Abdul Kalam said that he had come from a poor background. (I.S)

8. The teacher said to a student, “Are you confident ?” . (D.S)
The teacher asked a student whether he / she was confident. (I.S)

TS Inter 1st Year English Grammar Transformation of Sentences

9. Amulya says, “I am learning music”. (D.S)
Amulya says that she is learning music. (I.S)

10. The teacher said,’The sun rises in the east.” (D.S)
The teacher said that the sun rises in the east. (I.S)

11. Dr. Rahul said, “1 will try my best to save the patient.” (D.S)
Dr. Rahul said that he would try his best to save the patient. (I.S)

12. Yasoda said to Krishna, “You are mischievous and trouble me a lot. (D.S)
Yasoda told Krishna that he was mischievous and troubled her a lot.” (I.S)

13. They said, “The Minister has at last unveiled the statue today. It has not been unveiled for so many months for reasons unknown.” (D.S)
They said that the Minister had at last unveiled the statue that day and added (that) it had not been unveiled for so many months for reasons unknown. (I.S)

14. A North Indian friend of mine said, “Unlike in Delhi, the climate in Hyderabad is moderate.” (D.S)
A North Indian friend of mine remarked that unlike in Delhi, the climate in Hyderabad was moderate. (I.S)

15. “How is your health ?” said Dr. Charan to a patient. (D.S)
Dr. Charan asked a patient how his/her health was. (I.S)

16. A stranger said to me, “Where is Golconda ?”. (D.S)
A stranger asked me where Golconda was. (I.S)

17. “Dheeraj said to his friend, “Are you interested in teaching ?” (D.S)
Dheeraj asked his friend if/whether he was interested in teaching. (I.S)

18. I said my daughter, “Do you want to do B.Tech. or B.Sc ?” (D.S)
I asked my daughter whether she wanted to do B.Tech or B.Sc. (I.S)

II. Study the following examples and observe how statements are changed into the indirect speech.

Direct SpeechIndirect Speech
1. Simple present
He said, “I have many problems.”
1. Simple past
He said that he had many problems.
2. Present continuous
“I am reporting her words,” he said.
2. Past continuous
He said that he was reporting her words.
3. Present perfect
The cashier in the Bank said, “I have sent a report.”
3. Past perfect
The cashier in die Bank said that he had sent a report.
4. Present perfect continuous
A student said, “I have been trying to speak English for two years.”
4. Past perfect continuous
A student said that he had been trying to speak English for two years.
5. Simple past
‘I forgot my hall ticket,” a candidate said.
5. Simple pastíPast perfect
A candidate said that he / she had forgotten his hail ticket.
6. Past continuous
“I was watering the plants in the garden,” she said.
6. Past continuous / Past per.cont.
She said that she had been watering the plants in the garden.
7. Simple future
“We will move to Hyderabad next year, “Rajitha said.
7. Rajitha said that they would move to Hyderabad the following year.
8. The English teacher said to the class, “I will tell you the difference between the two sentences.”8. The English teacher told the class that he would tell them the difference between the two sentences.

TS Inter 1st Year English Grammar Transformation of Sentences

III. Study the following examples and observe how questions are changed into indirect speech.

TS Inter 1st Year English Grammar Transformation of Sentences 18

IV. All the verbs are changed into infinitives [to + verb (v1)] while reporting imperative sentences.

Direct SpeechIndirect Speech
1. Order/Command
The Site engineer said to his colleagues : “Don’t deviate from the plan.”
1. The Site engineer ordered his colleagues not to deviate from the plan.
2. Request
A student said to the teacher : “Can you, please, repeat the question, Madam ?”
2. A student requested the teacher to repeat the question.
3. Advice
Ahmad said to his son : “Don’t waste time and money.”
3. Ahmad advised his son not to waste time and money.
4. Instruction
The invigilator said to the candidates in the examination hall:”Write your hall ticket number on the question paper.”
4. The invigilator instructed the candidates in the examination hall to write their hall ticket number on the question paper.
5. Threat
A girl said to a boy : “I will complain to the police, if you tease me.”
5. A girl warned the boy that she would complain to the police if he teased her.
6. Offer
A volunteer said to me : “Can I help you ?”
6. A volunteer offered to help me.
7. Invitation
Praveena said to her friends : “Welcome to my home.”
7. Praveena invited her friends to her house.
8. Warning
Mother said to her son : “Don’t swim in the turbulent river.”
8. Mother warned her son not to swim in the turbulent river.
9. Promise
You said to your mother : Til be careful.”
9. You promised to your mother to be careful.
10. Apology
Raheem said to you :
“I am sorry I am unable to help you.”
10. Raheem apologized to you for not being able to help you.
Direct SpeechIndirect Speech
1. Keerthi said to us, “Let us have some snacks.”1. Keerthi suggested (invited) to us that we should have some snacks.
2. Dev said to us, “Shall we visit the Thousand-Pillar temple today ?”2. Dev proposed that we should visit the Thousand- Pillar temple that day.

TS Inter 1st Year English Grammar Transformation of Sentences

Exclanations :

Direct SpeechIndirect Speech
1. “Oh ! They have lost the match,” he said.1. He expressed regret that they had lost the match.
2. “Hurrah ! We have won the match,” said the boys.2. The boys exdamed with delight that they had won the match.
3. My brothers said to me, “Better luck next time.”3. My brothers wished me better luck next time.

Some More Examples :
1. He said to me, ‘You are lucky.” (D.S)
He told me (that) I was lucky. (I.S)

2. He said, “My father went to Chennai.” (D.S)
He said (that) his father had gone to Chennai. (I.S)

3. He said, “The sun rises in the east”. (D.S)
He said that the sun rises in the east. (I.S)

4. He said, “Kutub Minar is in Delhi.” (D.S)
He said that Kutub Minar is in Delhi. (I.S)

5. He said, “1 always go to bed early.” (D.S)
He said he always goes to bed earlier (I.S)

6. He said to me, “Do you want coffee ?” (D.S)
He asked me if I wanted coffee. (I.S)

7. He said to me, “Where did you go ?” (D.S)
He asked me where I had gone. (I.S)

8. He said to his son, “Go out and play.” (D.S)
He told his son to go out and play. (I.S)

9. He said, “Don’t disturb me.” (D.S)
He instructed him not to disturb him. (I.S)

10. He said, “What a terrible storm it is !” (D.S)
He exclaimed that it was a terrible storm. (I.S)

TS Inter 1st Year English Grammar Transformation of Sentences

11. He said to her, “How foolish of you !” (D.S)
He exclaimed that she was very foolish. (I.S)

12. He said, “Alas ! What a tragedy.” (D.S)
He exclaimed with sorrow that it was a great tragedy. (I.S)

EXERCISES

I. Report the following statements.

1. Sunil said to his daughter, “I will take care of you.”
2. The M.L.A. said to villagers, ‘You have every right to question me.”
3. The Inspector said to the constable, “I am your boss.”
4. It is better for you to join M.PC.” said Bharath’s mother.
5. The principal said to the lecturers, You should maintain records.”
6. “I have been waiting here for you for one hour, “Vasundhara said to Vandana.
7. Kranthi said to the Inspector, “I met with an accident while taking a turn.”
8. He said, “I have lost my bag.”
9. The girl said, “I can change any given sentence into reported speech.”
10. “I am your fan,” said the boy to Allu Aijun.
Answers:
1. Sunil told his daughter that he would take care of her.
2. Tlje M.L.A told villagers that they had every right to question him.
3. The Inspector told the constable that he was his boss.
4. Bharath’s mother said that it would be better for him to join MPC.
5. The principal told the lecturers that they should maintain records.
6. Vasundhara told Vandana that she had been waiting there for her for an hour.
7. Kranthi informed the Inspector that he had met with an accident while taking a turn.
8. He said that he had lost his bag.
9. The girl said that she could change any given sentence into reported speech.
10. The boy told Allu Aijun that he was his fan.

TS Inter 1st Year English Grammar Transformation of Sentences

II. Match the reported clause of Set n A with each reported statement of the direct speech in Set n B and then change the sentence into the reported speech.
TS Inter 1st Year English Grammar Transformation of Sentences 12
Answers:
1. The palmist told a woman that she would become a good writer.
2. In a press meet, the Union Minister promised that the government would take all precautionary measures regarding cyclone.
3. Dr. Gopal told them that the operation was successful and the patient was out of danger.
4. The lawyer told the client that they could file an appeal in the High Court.
5. The boy came late to the class and told his teacher that his father had been ill for a few days.

III. Report the following questions in indirect speech.

1. A visitor said to me, “Are there any places worth seeing in Warangal ?”
2. The mother said to her son, “When will you have your breakfast ?”
3. The shopkeeper said to the customer, “Shall I show you the latest model ?”
4. I said to the shop assistant, “What is the price of this dress ?”
5. A classmate said to me, “Is your father a businessman ?”
6. Harika said to her friend, “Will you come to my home tomorrow ?”
7. The passenger said to the driver, “Does the bus stop at the crossroads ?”
8. A girl said to the principal, “Do I need to be a postgraduate to become an IAS officer ?”
9. The father said to his daughter, “Who teaches you English, Anitha ?”
10. The teacher said to Kavitha, “What does the word ‘corruption’ mean ?”
Answers:
1. A visitor asked me if there were any worth seeing places in Warangal.
2. The mother asked her son when he would have his breakfast.
3. The shopkeeper asked the customer if he could show him the latest model.
4. I asked the shop assistant what the price of that dress was.
5. A classmate asked me if my father was a businessman.
6. Harika asked her friend if she would come to her home the following day.
7. The passenger asked the driver if the bus would stop at the crossroads.
8. A girl asked the principal if she needed to be a postgraduate to become an IAS officer.
9. The father asked his daughter Anita who would teach them English.
10. The teacher asked Kavitha what the word corruption meant.

TS Inter 1st Year English Grammar Transformation of Sentences

IV. Change the following imperatives into the indirect speech.

1. Hima said, “Get out from here.”
2. Neha said, “Mom, please give me your mobile.”
3. Hardik said to Annu, “Go and study.”
4. Nani said to me, “Exercise daily.”
5. Father said to Swetha, “Switch off the fan.
Answers:
1. Hima ordered him/them to get out from there.
2. Neha requested her mother to give her mobile.
3. Hardik asked Annu to go and study.
4. Nani advised me to exercise daily.
5. Father asked Swetha to switch off the fan

V. Change the following exclamations into the indirect speech.

1. Nivya said to her sister, “How interesting the serial is !”
2. My friend said to me, “What a wonderful opportunity it is !”
3. “Oh ! he is dead,” the doctor said.
4. “Thank goodness ! I’ve passed my exams,” my son said.
5. “Hurray ! I’ve got first rank in the entrance examination !” my friend said.
6. “How awful! She has missed the chance,” Mahesh said.
7. A visitor said, “What sultry weather !”
8. “What a pity ! Many passengers died in the accident,” said an eye witness.
9. Akshay said to his partner, “Bad luck, never mind.”
10. “Oh ! What a beautiful place it is !” he said.
Answers:
1. Nivya exclaimed to her sister that the serial was very interesting.
2. My friend exclaimed to me that it was a wonderful opportunity.
3. The doctor declared sadly that he was dead.
4. My son happily said that he had passed his exams.
5. My friend cheerfully declared that he had got the first rank in the entrance examination.
6. Mahesh rather sadly exclaimed that she had missed the chance.
7. A visitor exclaimed that it was very sultry weather.
8. An eye witness exclaimed sadly that many passengers had died in the accident.
9. Akshay told his partner that it was their bad luck and said better not mind that.
10. He exclaimed that it was a very beautiful place.

TS Inter 1st Year English Grammar Transformation of Sentences

VI. Report the following sentences.

1. A father said to his son. “Ramu, concentrate on your studies now.”
2. “What a wonderful poem it is !” said the teacher.
3. The principal said to the student, “Vinay, can you spell this word ?”
4. “Is there any train to Mumbai now ?” I asked the enquiry clerk.
5. “How much time does a ray of the sun take to reach the earth ?” the quiz master asked the team.
6. “Alas ! India has lost a famous scientist,” said the Prime Minister on the death of Abdul Kalam.
7. “How would you help develop the company ?” the interview board member said to the can-didate.
8. “If I get a job, I will arrange a grand party,” said Spandana.
9. “Stand where you are,” the officer said to the cadets.
10. “Don’t make friends with bad boys,” said the mother to her son.
11. “Hearty welcome to our village !” Radha said to her friends.
12. “Hurrah ! We have defeated Pakistan in T 20 too,” said Kohli.
13. “Please be seated. My father is sleeping,” said the girl to the visitors.
14. “I am a pure vegetarian,” Gandhi said.
15. “How exciting it is to see Telangana as a separate state !” said a hundred-year old man.
16. “Remember, Man is mortal,” said the Swamiji.
17. He said, “We need not wait here for the bus.”
18. “While I was going to see Deepthi, it started raining,” Kiran said.
19. The doctor said, “Sorry, I cannot help it.”
20. “Nothing is in our hands,” said the priest.
Answers:
1. A father advised his son Ramu to concentrate on his studies then.
2. The teacher exclaimed that it was a very wonderful poem.
3. The principal asked Vinay if he could spell that word.
4. I asked the enquiry clerk if there was any train to Mumbai then.
5. The quiz master asked the team how much time a ray of the sun took to reach the earth.
6. The Prime Minister said on the death of Abdul Kalam that India had lost a famous scientist.
7. The interview board member asked the candidate how he would help the company develop.
8. Spandana said that if she got a job she would arrange a grand party.
9. The officer ordered the cadets to stand where they were.
10. The mother advised her son not to make friends with bad boys.
11. Radha extended hearty welcome to her friends to her village.
12. Kohli gladly said that they had defeated Pakistan in T20 too.
13. The girl requested the visitors to be seated and informed them that her father was sleeping.
14. Gandhi said that he was a pure vegetarian.
15. A hundred – year old man exclaimed that it was very exciting to see Telangana as a separate state.’
16. The Swamiji said emphatically that man is mortal.
17. He said that they needed not wait there for the bus.
18. Kiran said that while he was going to see Deepthi, it had started raining.
19. The doctor apologetically said that he couldnot help it.
20. The priest said that nothing was in their hands.

TS Inter 1st Year English Grammar Transformation of Sentences

VII. Change the following sentences into the indirect speech.

1. I said to her, “I had already applied for a job.”
2. You said to me, “She loves you.” * ‘
3. We said to him, “Can we use your phone ?”
4. The teacher said to her, ‘Why did you fail the exam ?”
5. She will say to me, “How do you solve the problem ?”
6. I said to them, “I don’t ever waste my time.”
7. You said to me, “I have not yet met them.”
8. The minister said, “The problem will surely be looked into.”
9. They said to rile, “Have you been working here since 2015 ?”
10. We said to them, ‘We were watching a movie.”
11. She said, “I went to the market yesterday.”
12. They said to us, “We will be waiting for you.”
13. John said to her, “1 will call a doctor for you.”
14. I said to her, “Alas, I am undone !”
15. She said to him, “Please complete the job.”
16. He shouted at them, “Shut up!”
17. The officer said to him, “Don’t repeat this mistake in the future.”
18. The teacher said, “Akbar died in 1605 AD.”
19. She said to her, “Knowledge is power.”
20. A soft voice said, “What a cold day !”
Answers:
1. I told her that I had already applied for a job.
2. You told me that she loved me.
3. We asked him if we could use his phone.
4. The teacher asked her why she had failed the exam.
5. She will ask me how I will solve the problem.
6. I told them that I never wasted my time. (OR) I told them that I never waste my time.
7. You told me that you had not yet met them.
8. The minister said that the problem would surely be looked into.
9. They asked me if I had been working there since 2015.
10. We told them that we had been watching a movie.
11. She said that she had gone to the market the previous day.
12. They told us that they would be waiting for us.
13. John told her that he would call a doctor for her.
14. I exclaimed with sorrow to her that I was undone.
15. She requested him politely to complete the job.
16. He ordered them loudly to shut up.
17. The officer warned him not to repeat that mistake in the future.
18. The teacher said that Akbar had died in 1605 AD.
19. She told her that knowledge is power.
20. A soft voice exclaimed that it was a very cold day.

TS Inter 1st Year English Grammar Transformation of Sentences

VIII. Change the following sentences into the other speech.

1. A good teacher will say frankly and clearly, “I don’t know, 1 cannot answer that question.”
2. I asked my Biology teacher what I should do to save it.
3. I asked my grandmother how she got to be so wise.
4. Thimmakka concludes, “Even one sapling each could make a better place for our children.”
5. Box : Stop ! Can you inform me who the individual is that I invariably encounter going downstairs when I’m coming up, and coming upstairs when I’m going down ?
Answers:
1. A good teacher will say frankly and clearly that he/she doesn’t know. He/She will add that he/ she cannot answer that question. (I.S)
2. I said to my Biology teacher, “What shuld I do to save it ?” (D.S)
3. I said to my grandmother, “How did you get to be so wise” ? (D.S)
4. Thimmakka concludes that even one sapling each could make a better place for our children. (I.S)
5. Box asked (her) to stop. He further asked her if she could inform him who that individual was that he invariably encountered going downstairs when he was coming up and coming upstairs when he was going down. (I.S)

TS Inter 1st Year English Grammar Transformation of Sentences

C. DEGREES OF COMPARISON

Man craves for variety. He knows that variety is the spice of life. Hence he tries to express the same idea in various different ways. The result is the tradition of describing the quality, quantity size etc., of some thing or person in three different ways. Most adjectives and some adverbs have three different forms. They are positive, comparative and superlative. They are known as the three degrees of comparision.

(ఒక వ్యక్తి యొక్క వస్తున్న యొక్క గుణ, పరిమాణాలను మూడు భిన్న రూపాలలో వ్యక్తీకరించడం ఆనవాయితీ. ఈ రూపాలనే Degrees of comparison అని పిలుస్తారు)

When the comparison is among a minimum of three persons/things, that can be ex-pressed in all the three degrees. If the compared persons are two only, the superlative degree is not possible. When we talk of the quality, quantity of a single item, only positive degree is possible.

Interchange of Degrees of comparison :
Transforming one sentence from the Superlative Degree to Comparative Degree involves the following steps.

1. First, remove ‘the’ that is used before the superlative adjective, while changing it into the comparative.
2. Write the comparative form of the adjective.
3. Then, add ‘than any other’ after the adjective.
Ex : Praveen is the youngest boy in the class. (S.D.)
Praveen is younger than any other? boy in the class.

To change that sentence into the positive :

1. Begin the sentence with ‘No other’.
2. Secondly, place the phrase after the superlative adjective after ‘No other’.
3. Use ‘so + adj in positive Degree + as’ after the verb.
4. Place the subject in the S.D after ‘as’ in RD.
Ex : He is the richest man in our town. (S.D.)
TS Inter 1st Year English Grammar Transformation of Sentences 13
Transforming one sentence from the superlative Degree to comparative or positive Degree involves the following steps.
TS Inter 1st Year English Grammar Transformation of Sentences 14
TS Inter 1st Year English Grammar Transformation of Sentences

Sentences with ‘one of phrase in the Superlative degree follow a slightly different wording. This is as explained here under.
TS Inter 1st Year English Grammar Transformation of Sentences 15
Some sentences show the comparison between only two things/persons. In such cases, the superlative is not possible. The interchange is made as shown here.
TS Inter 1st Year English Grammar Transformation of Sentences 16

EXAMPLES

Change the following sentences into other degrees.

Question 1.
Bengaluru is as cool as Ooty. (P.D)
Answer:
Ooty is not cooler than Bengaluru. (C.D)

Question 2.
Australia is the biggest island in the world. (S.D)
Answer:
Australia is bigger than any other island in the world. (C.D)
No other island in the world is so big as Australia. (PD)

Question 3.
The moon is brighter than the stars. (C.D)
Answer:
The stars are not so bright as the moon. (P.D)

Question 4.
There is no vice so bad as drink. (P.D)
Answer:
Drink is worse than any other vice. (C.D)

Question 5.
Kashmir is the most beautiful place in India. (S.D)
Answer:
No other place in India is so beautiful as Kashmir. (P.D)
Kashmir is more beautiful than any other place in India. (C.D)

TS Inter 1st Year English Grammar Transformation of Sentences

Question 6.
Silver is not so precious as gold. (P.D)
Answer:
Gold is more precious than silver. (C.D)

Question 7.
Kumble is one of the ablest bowlers. (S.D)
Answer:
Very few bowlers are so able as Kumble. (P.D)
Kumble is abler them most other bowlers. (C.D)

Question 8.
The lion is more ferocious than any other animal. (C.D)
Answer:
The lion is the most ferocious of all the animals. (S.D)
No other animal is so ferocious as the lion. (P.D)

Question 9.
The sword is not so mighty as the pen. (P.D)
Answer:
The pen is mightier than the sword. (C.D).

Question 10.
Copper is more useful than most other metals. (C.D)
Answer:
Copper is one of the most useful metals. (S.D)
Very few metals are so useful as copper. (P.D)

Question 11.
Mount Everest i.s higher than any other peak in the world. (C.D)
Answer:
Mount Everest is the highest of all the peaks in the world. (S.D)
No other peak in the world is so high as Mount Everest. (P.D)

Question 12.
I like you better than him. (C.D)
Answer:
I didn’t like him as well as I like you. (P.D)

Question 13.
A deer runs faster than a horse. (C.D)
Answer:
A horse does not run so fast as a deer. (P.D)

TS Inter 1st Year English Grammar Transformation of Sentences

Question 14.
Sangeetha is the tallest girl in the class. (S.D)
Answer:
No other girl in the class is so tall as Sangeetha. (P.D)

Question 15.
This is one of the most powerful earthquakes that occurred. (S.D)
Ans. This is more powerful than most other earthquakes that occurred. (C.D)
Very few earthquakes that occurred are as powerful as this earthquake. (P.D)

More Examples :

1. For me, dancing is easier to learn than singing. (C.D)
For me, singing is not as easy to learn as dancing. (P.D)

2. Singing is the best of all art forms. (S.D)
Singing is better than any other art forms. (C.D)
No other art form is as good as singing. (P.D)

3. The sentence is more impressive than the earlier one. (C.D)
The earlier sentence is not so impressive as this one. (P.D)

4. A car, of course, is costlier than a bike. (C.D)
A bike, of course, is not as costly as a car. (P.D)

5. Uttar Pradesh is the largest state in India. (S.D)
Uttar Pradesh is larger than any other state in India. (C.D)
No other state in India is as large as Uttar Pradesh. (P.D)

TS Inter 1st Year English Grammar Transformation of Sentences

6. Bill Gates is the wealthiest man in the world. (S.D)
Bill Gates is wealthier than any other man in the world. (C.D)
No other man in the world is as wealthy as Bill Gates. (P.D)

7. English is the most widely used language in the world. (S.D)
English is more widely used than any other language in the world. (C.D)
No other language in the world is as widely used as English. (P.D)

Types of transformation :
TS Inter 1st Year English Grammar Transformation of Sentences 17

EXERCISES

I. Change the following sentences into other Degrees.

1. LIC is one of the most popular insurance companies in India.
2. The custard apple is better for health than the apple.
3. A computer works faster than the human brain.
4. A Governor is sometimes more powerful than a Chief Minister.
5. The teaching profession is the best of all professions.
6. Laxmi Mittal is one of the most popular industrialists.
7: No other bank in India has as many branches as SBI.
8. Virus infects a person faster than bacteria.
9. Cancer is one of the most dangerous diseases.
10. No other boy in the class is as active as Surya Teja.
11. The Amazon is one of the longest rivers in the world.
12. No other animal lives as long as the turtle.
13. Jupiter is bigger than any other planet.
14. A rainbow is one of the most beautiful sights in nature.
15. Very few English poets are as great as John Keats.
16. The lotus is the most beautiful flower.

TS Inter 1st Year English Grammar Transformation of Sentences

17. Mathematics is more difficult than most other subjects.
18. Shimla is cooler than Ooty.
19. He can’t run as fast as I.
20. Vinay is not as mischievous as some other boys in the college.
21. There are some vegetarian food as healthy as eggs.
22. Of all the Telugu singers S.R Balasubramanyam has the most melodious voice.
23. Health is more important than wealth.
24. I cannot speak as fast as you.
25. Very few TV channels are as popular as E TV.
Answers:
1. Very few insurance companies in India are as popular as LIC. (P.D)
LIC is more popular than many other insurance companies in India. (C.D)

2. The apple is not as good for health as the custard apple. (P.D)

3. The human brain does not work as fast as a computer. (P.D)

4. Sometimes a Chief Minister is not as powerful as a Governor. (P.D)

5. The teaching profession is better than any other profession. (C.D)
No other profession is as good as the teaching profession. (P.D)

6. Very few industrialists are as popular as Laxmi Mittal. (P.D)
Laxmi Mittal is more popular than many other industrialists. (C.D)

7. SBI has the most number of branches. (S.D)
SBI has more branches than any other bank in India. (C.D)

8. Bacteria does not infect a person as fast as virus. (P.D)

9. Cancer is more dangerous than many other diseases. (C.D)
Very few diseases are as dangerous as cancer. (P.D)

10. Surya Teja is more active than any other boy in the class. (C.D)
Surya Teja is the most active boy in the class. (S.D)

TS Inter 1st Year English Grammar Transformation of Sentences

11. The Amazon is longer than many other rivers in the world. (C.D)
Very few rivers in the world are as long as the Amazon. (P.D)

12. The turtle lives longer than any other animal. (C.D)
The turtle lives the longest of all animals. (S.D)

13. No other planet is as big as Jupiter. (P.D)
Jupiter is the biggest planet. (S.D)

14. A rainbow is more beautiful than many other sights in nature. (C.D)
Very few sights in nature are as beautiful as a rainbow. (P.D)

15. John Keats is one of the greatest poets of English. (S.D)
John Keats is greater than many other poets of English. (C.D)

16. The lotus is more beautiful than any other flower. (C.D)
No other flower is as beautiful as the lotus. (P.D)

17. Mathematics is one of the most difficult subjects. (S.D)
Very few subjects are as difficult as Mathematics. (P.D)

18. Ooty is not as cool as Shimla. (P.D)

19. I can run faster than he. (C.D)

20. Vinay is one of the most mischievous boys in the college. (S.D)
Vinay is more mischievous than many other boys in the college. (C.D)

21. Eggs are not healthier than some vegetarian foods. (C.D)

22. No other Telugu singer has a voice as melodious as S.R Balu’s. (P.D)
S.R Balu’s voice is more melodious than that of any other Telugu singer. (C.D)

23. Wealth is not as important as health. (P.D)

24. You can speak faster than I. (C.D)

25. E TV is more popular than many other TV channels. (C.D)
E TV is one of the most popular TV channels (S.D)

TS Inter 1st Year English Grammar Transformation of Sentences

II. Rewrite the following comparisons as directed.

1. The taste of Pizza is more pleasing than that of Burger. (into the other degree)
2. Sheela is getting smarter and smarter than Neela. (into the other degree)
3. Raj is one of the bravest fighters. (into comparative)
4. Radha speaks more fluently than Sudha. (into the other degree)
5. ’ Riding a horse is not as easy as riding a motorbike. (into the other degree)
6. ‘Silence’ is the most potent weapon to win an argument. (into positive)
7. Rachana’s sister is taller than yours. (into the other degree)
8. Dogs don’t look as cute as rabbits. (into the other degree)
9. He is not the worst student in the class. (into comparative)
10. Very few heroes are as great as Gandhiji in the world history. (into superlative)
Answers:
1. The taste of Burger is not so pleasing as that of Pizza. (P.D)
2. Neela is not getting as smart as Sheela. (P.D)

3. Raj is braver than any other fighter. (C.D)
No other fighter is as brave as Raj. (P.D)

4. Sudha does not speak as fluently as Radha. (P.D)

5. Riding a motorbike is easier than riding a horse. (C.D)

6. No other weapon is so potent as silence to win an argument. (P.D)
Silence is more potent than any other weapon to win an argument. (C.D)

7. Your sister is not so tall as Rachana’s sister. (P.D)
8. Rabbits look cuter than dogs. (C.D)

9. He is not worse than most students in the class. (C.D)
Many students in the class are as bad as he. (P.D)

10. Gandhi is one of the greatest heroes in the world history. (S.D)
Gandhi is greater than many other heroes in the world history. (C.D)

TS Inter 1st Year English Grammar Transformation of Sentences

III. Change the following sentences into other degrees of comparison.

1. Bus journey is not as comfortable as train journey.
2. Radhakrishnan is more highly respected than any other teacher.
3. Robert Frost is one of the best American poets.
4. No other road in the world is as long as the Pan American Highway.
5. Kashmir is one of the coolest places in India.
6. A foolish friend can be more dangerous than a wise enemy.
7. Money is not as important as character.
8. Modern culture is not as stable as Traditional culture.
9. For many Indians, cricket gives greater pleasure than football.
10. Natural flowers appeal more to our senses than artificial flowers.
Answers:
1. Train journey is more comfortable than bus journey. (C.D)

2. Radhakrishnan is the most highly respected teacher. (S.D)
No other teacher is so highly respected as Radhakrishnan. (P.D)

3. Robert Frost is better than many other American poets. (C.D)
Very few American poets are as good as Robert Frost. (P.D)

4. Pan American Highway is longer than any other road in the world. (C.D)
Pan American highway is the longest road in the world. (S.D)

5. Kashmir is cooler than many other places in India. (C.D)
Very few places in India are so cool as Kashmir. (P.D)

6. A wise enemy cannot be so dangerous as a foolish friend. (P.D)
7. Character is more important than money. (C.D)
8. Traditional culture is more stable than modern culture. (C.D)
9. For many Indians, football doesn’t give as much pleasure as cricket. (P.D)
10. Artificial flowers do not appeal to our senses as much as natural flowers. (P.D)

TS Inter 1st Year English Grammar Transformation of Sentences

D. QUESTION TAGS

Question tags are short questions added to statements. They seek confirmation or agreement. (ఏకీభావాన్ని లేదా ద్రువీకరణను ఆశిస్తూ, ఒక వాక్యానికి అనుబంధంగా చేర్చబడే చిన్న ప్రశ్నలే Question tags.)

Question tags have a fixed structure. It is represented as : Helping verb + (n’t) + pronoun ? ((n’t) in brackets means it is optioned.)
e.g. She loves her children, doesn’t she?
(Q.T.) does (H.V.) n’t she (pronoun)

1. While constructing a tag, selecting the suitable helping verb is the first and the most important step. If the given sentence has a helping verb, then that helping verb is used in the tag too.
E.g : She has answered all the questions, hasn’t she?
has → Helping Verb in the sentence used in the tag too.

When the sentence doesn’t have a helping verb, the verb is either in the simple present Or in the simple past and in the affirmative. In case of the simple present, the suitable helping verb is “do/does”. If the verb in the sentence is in the simple past, then we must use ‘did’ in the tag.
Eg : a) She hates smokers, doesn’t she ? Simple present, hence ‘does’
b) They grow vegetables, do n’t they ? Simple present
c) He sold his car, didn’t he ? Simple past; hence ‘did’.

2. The second step is to decide whether to use ‘n’t’ or not. The guiding principle is quite simple. If the given sentence doesn’t have ‘rio/not’, use ‘n’t’ is the tag. If the given sentence has ‘no/not’ then the tag doesn’t have ‘n’t’.
Eg : a) He was sleeping in the class, was n’t he ?
‘not’ is not used n’t in the tag
b) They don’t grow paddy, do they?
‘n’t’ in sentence ‘n’t’ not used in tag
Remember to use the short form ‘n’t’ in the tag.

3. The last part of the tag as a pronoun. This corresponds to the subject of the given sentence. If the subject of the sentence is a pronoun, the same pronoun is used in the tag. If the subject is a noun, select a suitable pronoun as shown below.

SI.No.Subject in the sentencePronoun used in the tag
1.Name of a manhe
2.Name of a womanshe
3.Name of a single thingit
4.Name referring to, a group of persons, places, thingsthey

Eg : a) Gourav is a good cricketer, isn’t he? ?
b) Sania Mirza played well, didn’t she ?
c) Ooty is a beautiful hill station, isn’t it ?
d) Mangoes aren’t good this season, are they ?

TS Inter 1st Year English Grammar Transformation of Sentences

4. Note that ‘amn’t’ is not used. Instead, aren’t is used.
Eg : lam rather slow, aren’t I ?

5. Imperative sentences take ‘will’ as the helping verb in the tags.
Eg : a) Close the door, Won’t you ? (Will + n’t = won’t)
b) Don’t leave the place, will you ?

6. Sentences expressing proposals with the help of “Let us ……………..” have for their tags “Shall we?”
Eg : Let us walk fast, shall we ?

EXAMPLES

1. Srinivasa Ramanujan is a famous mathematician, isn’t he ?
2. Normally players have a lot of practice, don’t they ?
3. Sania Mirza is not a cricketer, is she ?
4. She can speak English, can’t she ?
5. He should believe us, shouldn’t he ?
6. We must all learn English, mustn’t we ?
7. The Governor administers the oath of office to ministers, doesn’t she / he ?
8. He does not support any one, does he ?
9. Most of the villagers depend on agriculture, don’t they ?
10. They do not seem to lead a happy life, do they ?
11. Children love to play with toys, don’t they ?
12. On their picnic, the children did not have a chance to play in the garden, did they ?
13. The children are not yet back home, are they ?
14. Do me a favour, Raju, can you ?
15. Take a right decision, won’t you ?
16. Don’t waste time, will you ?
17. Let’s understand their problems, shall we ?
18. No one complained against us, did they ?
19. Everyone appreciated his performance, didn’t they ?
20. Someone should take the initiative, shouldn’t they ?
21. Nothing is impossible, is it ?
22. There will be problems in that case, won’t there ?
23. One can achieve anything by faith, can’t one ?
24. I am not disturbing you, am I ?
25. It is used for present actions, isn’t it ?
26. You understand the point, don’t you ?
27. You are attending a job interview tomorrow, aren’t you ?
28. It is clear to you now, isn’t it ?
29. They are ready, aren’t they ?
30. They are not ready, are they ?
31. He did not attend the class, did he ?
32. Oh, you got two prizes, did you ? (Special case. Positive statement, positive tag. Express reaction to a surprising news.)
33. I am going home, aren’t I ? (Note that ‘aren’t is used instead of ‘amn’t.)

TS Inter 1st Year English Grammar Transformation of Sentences

EXERCISES

I. Add an appropriate question tag to each one of the following statements.

1. Sandeep has attended all classes, ……………….. ?
2. We are lucky to be born in India, ………………..?
3. English is an interesting language, ……………….. ?
4. He was very busy yesterday, ……………….. ?
5. I am very happy now, ……………….. ?
6. I can face challenges, ……………….. ?
7. Ravi always thinks positively, ……………….. ?
8. He does not criticize, ……………….. ?
9. Some people always depend on others, ……………….. ?
10. Discipline must be maintained at any cost, ……………….. ?
11. Let us keep to the pavement, ……………….. ?
12. Don’t blame others for everything, ……………….. ?
13. One can do wonders with knowledge, ……………….. ?
14. Nothing is permanent except change, ……………….. ?
15. Students are our best judges, ……………….. ?
Answers:
1. hasn’t he ?
2. aren’t we ?
3. isn’t it ?
4. wasn’t he ?
5. aren’t I ?
6. can’t I ?
7. doesn’t he ?
8. does he ?
9. Don’t they
10. mustn’t it be ?
11. shall we ?
12. will you ?
13. can’t one ?
14. is it ?
15. aren’t they ?

TS Inter 1st Year English Grammar Transformation of Sentences

II. Add an appropriate question tag to each one of the following statements.

1. You don’t lime me, ……………….. ?
2. It is not raining, ……………….. ?
3. You have done your homework, ……………….. ?
4. I am not late, ……………….. ?
5. I am invited to your party, ………………..?
6. You like fast food, ……………….. ?
7. You will come to my party, ……………….. ?
8. You remembered to feed the cat, ……………….. ?
9. Let’s play tennis, ……………….. ?
10. There’s a problem here, ……………….. ?
11. He never says a word, ……………….. ?
12. Nobody came to your party, ……………….. ?
13. Don’t forget, ……………….. ?
14. You think you’re clever, ……………….. ?
15. So you think you’re clever, ……………….. ?
16. We don’t have to go to the party, ……………….. ?
17. It stopped raining, ……………….. ?
18. Have a seat, ……………….. ?
19. Help yourself to some cake, ……………….. ?
20. Children, be quiet, ……………….. ?
Answers:
1. do you
2. is it
3. haven’t you
4. am I (Note . possible tag-am ; negative tag are in the place of ami
5. aren’t I
6. don’t you
7. won’t you
8. didn’t you
9. shall we
10. isn’t there
11. does he (never = not; negative statement; hence positive tag)
12. did they
13. will you
14. don’t you (you think is the main clause)
15. do you (expressing sudden reaction)
16. do we
17. didn’t it
18. won’t you
19. will you
20. will you

TS Inter 1st Year English Grammar Transformation of Sentences

III. Add an appropriate question tag to each one of the following statements.

1. I am unable to answer your question, ………………..?
2. Rahul’s first rank is at stake, ……………….. ?
3. The noise in my ears was that of the faithful Oxford crowd, ……………….. ?
4. The stop-watches held the answer, ……………….. ?
5. It belongs to both of you, ……………….. ?
Answers:
1. am I (unable = not able)
2. isn’t it
3. wasn’t it
4. didn’t they
5. doesn’t it ?

TS Inter 1st Year English Grammar Correction of Errors in Sentences

Telangana TSBIE TS Inter 1st Year English Study Material Grammar Correction of Errors in Sentences Exercise Questions and Answers.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

Q.No. 14 (4 × 1 = 4 Marks)

Exercises

I. Correct the underlined parts of the following sentences :

1. Your informations are wrong.
2. He has bought expensive furnitures.
3. Children should learn the alphabets with joy.
4. He has deep knowledges of various fields.
5. The sceneries of Darjeeling are very beautiful.
6. Keep your surrounding clean.
7. We must express thank to those who help us.
8. Economics are an interesting subject.
9. Athletics are an interesting sport.
10. The news of the earthquake have spread like wildfire.
11. Measles are an infectious disease.
12. Ocean sands are not used for construction.
13. C.V. Raman’s knowledges of all branches of physics are amazing.
14. There is a scarcity of man-servants nowadays.
15. Many passer-bys observed the accident.
16. Mouses have spoiled the crop.
17. There are five womans in the team.
18. My cousin brother is a doctor.
19. We should wash our foots before coming into the house.
20. He has many sheeps.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

21. One of my classmates are an army officer.
22. One should respect her teachers.
23. Every men are responsible for this situation.
24. His both sons are lawyers.
25. The principal and the chairman has attended the meeting.
26. Each of them were given a gift.
27. Student’s must avail the opportunities.
28. The two players blamed one another for their defeat.
29. All Indians must respect each other.
30. Yourself are responsible for your future.
31. There are no less than ten employed persons in their village.
32. He and me are brothers.
33. As there are only few students, I can interact with them easily.
34. My all friends are very active.
35. Gandhi is more truthful than any political leader.
36. This is taller than many buildings in Hyderabad.
37. Raghu is my older brother.
38. The streets of Hyderabad are wider than Warangal.
39. Suma is an popular anchor.
40. I waited for a hour.
41. Sun rises in east.
42. Onions cost Rs. 20 kilogram.
43. They are staying in the same flat for the last many years.
44. How long are you waiting here ?
45. He is interested to do a job.
46. They have moved to the new house last week.
47. He is having many imported clothes.
48. As soon as I opened the doors, the birds flu away.
49. If I will stand on my own legs, my parents will feel happy.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

50. If you consult me, I would have advised you what to do.
51. He is visiting the library daily.
52. He walks very fastly.
53. We don’t , hardly believe it.
54. They don’t do anything careful.
55. She scarce attends classes.
56. He is walking very slow.
57. The property was divided between the four brothers.
58. I prefer fruits than sweets.
59. He is afraid with darkness.
60. We entered into the hall to watch the play.
61. Beside being a poet, Tagore is also a short story writer.
62. The shops will be open between 10 a.m. to 8 p.m.
63. Either you must take up a job or start a business.
64. Neither she drinks tea nor coffee.
65. Sheela is as proud like a peacock.
66. They asked me that where SBI was.
67. They asked me what was my name.
68. This article is made with cotton.
69. We look forward to meet the minister.
70. I know them for the last many years.
71. Why is she hating classical music ?
72. It is raining since yesterday.
73. I am good in English.
74. If cleanliness will be maintained, we will be healthy.
75. We had seen them two weeks ago.
76. The river has overflown its bank in many places.
77. He has hanged his coat on a nail.
78. All banks are open from 10.30 a.m. and 4 p.m.
79. He is not an expert in grammar, isn’t it ?
80. Children are fond for chocolates.
Answer:
1. Your informations is wrong.
2. He has bought expensive furniture.
3. Children should learn the alphabet with joy.
4. He has deep knowledge of various fields.
5. The scenery of Darjeeling are very beautiful.
6. Keep your surroundings clean.
7. We must express thanks to those who help us.
8. Economics is an interesting subject.
9. Athletics is an interesting sport.
10. The news of the earthquake has spread like wildfire.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

11. Measles is an infectious disease.
12. Ocean sands is not used for construction.
13. C.V. Raman’s knowledge of all branches of physics are amazing.
14. There is a scarcity of men-servants nowadays.
15. Many passer-by observed the accident.
16. Mice have spoiled the crop.
17. There are five womens in the team.
18. My cousin is a doctor.
19. We should wash our feet before coming into the house.
20. He has many sheep.
21. One of my classmates is an army officer.
22. One should respect one’s teachers.
23. Every men is responsible for this situation.
24. Both his sons are lawyers.
25. The principal and the chairman have attended the meeting.
26. Each of them was given a gift.
27. Student’s must avail themselves of the opportunities.
28. The two players blamed each another for their defeat.
29. All Indians must respect one other.
30. You are responsible for your future.
31. There are no fewer than ten employed persons in their village.
32. He and I are brothers.
33. As there are only a few students, I can interact with them easily.
34. All my friends are very active.
35. Gandhi is more truthful than any other political leader.
36. This is taller than many other buildings in Hyderabad.
37. Raghu is my elder brother.
38. The streets of Hyderabad are wider than those of Warangal.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

39. Suma is a popular anchor.
40. I waited for an hour.
41. The sun rises in east.
42. Onions cost Rs. 20 a kilogram.
43. They have been staying in the same flat for the last many years.
44. How long have you been waiting here ?
45. He is interested in doing a job.
46. They moved to the new house last week.
47. He has many imported clothes.
48. As soon as I opened the doors, the birds flew away.
49. If I stand on my own legs, my parents will feel happy.
50. If you had consulted me, I would have advised you what to do.
51. He visits the library daily.
52. He walks very fast.
53. We don’t beleive it/. We hardly believe it.
54. They don’t do anything careful.
55. She scarcely attends classes.
56. He is walking very slowly.
57. The property was divided among the four brothers.
58. I prefer fruits to sweets.
59. He is afraid of darkness.
60. We entered the the hall to watch the play.
61. Besides being a poet, Tagore is also a short story writer.
62. The shops will be open between 10 a.m. and 8 p.m.
63. You must either take up a job or start a business.
64. She drinks neither tea nor coffee.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

65. Sheela is as proud as a peacock.
66. They asked me where SBI was.
67. They asked me what my name was.
68. This article is made of cotton.
69. We look forward to meetimg the minister.
70. I have know them for the last many years.
71. Why does she hate classical music ?
72. It has been raining since yesterday.
73. I am good at English.
74. If cleanliness is maintained, we will be healthy.
75. We saw them two weeks ago.
76. The river has overflowed its bank in many places.
77. He has hung his coat on a nail.
78. All banks are open from 10.30 a.m. to 4 p.m.
79. He is not an expert in grammar, is he ?
80. Children are fond of chocolates.

II. Correct the following sentences :

1. Very good morning.
2. What is your good name ?
3. Why you are late today ?
4. The staff meeting has been pre-poned.
5. 1 will report it to the concerned teacher.
6. We go home by walk.
7. Where you come from ?
8. 1 do not know what is your name.
9. He went to the back-side of the house.
10. Please bring your luggages here.
11. This road is more shorter than that.
12. We often chit-chat with our friends.
13. Please shut the TV.
14. I and my wife went to a movie.
15. Mohan and myself will come.
16. I’m having a scooter.
17. This costed me a lot.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

18. I doubt that he will succeed.
19. We are living in Bengaluru since 2015.
20. We have a lot of furnitures in our house.
Answer:
1. Good morning.
2. What is your name ?
3. Why are late today ?
4. The staff meeting has been advanced.
5. I will report it to the teacher concerned.
6. We go home on foot.
7. Where are you coming from ?
8. 1 do not know what your name is.
9. He went to the back of the house.
10. Please bring your luggage here.
11. This road is shorter than that.
12. We often chat with our friends.
13. Please switch of the TV.
14. My wife and I went to a movie.
15. Mohan and I will come.
16. 1 have a scooter.
17. This cost me a lot.
18. I doubt if he will succeed.
19. We have been living in Bengaluru since 2015.
20. We have a lot of furniture in our house.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

III. Rewrite the following sentences after correcting the errors :

1. Can you read the Urdu alphabets ?
2. The police is investigating the case.
3. Here is your glasses.
4. Look at the man in the blue jean.
5. Have you seen the table of content of this textbook ?
6. Mumps are a kind of disease.
7. There were a series of programmes to mark the occasion.
8. She bought a toothpaste.
9. This box has twelve dozens of apples.
10. The athlete ran a four-miles race.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

11. I received five thousands rupees from the manager.
12. Most male deers have horns.
13. Eight hundred rupees are too much for a pen.
14. A black and white dog are following me.
15. A black and a white dog is following me.
16. Many a man were cheated in this way.
17. I lost my all belongings.
18. Neither he nor his wife have arrived yet.
19. More than one person are working here.
20. The first inning is over.
Answer:
1. Can you read the Urdu alphabet ?
2. The police are investigating the case.
3. Here are your glasses.
4. Look at the man in the blue jeans.
5. Have you seen the table of contents of this textbook ?
6. Mumps is a kind of disease.
7. There was a series of programmes to mark the occasion.
8. She bought a tube of toothpaste.
9. This box has twelve dozen of apples.
10. The athlete ran a four-mile race.
11. I received five thousand rupees from the manager.
12. Most male deer have horns.
13. Eight hundred rupees is too much for a pen.
14. A black and white dog is following me.
15. A black and a white dog are following me.
16. Many a man was cheated in this way.
17. I lost all my belongings.
18. Neither he nor his wife has arrived yet.
19. More than one person is working here.
20. The first innings is over.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

IV. Rewrite the following sentences after correcting the errors :

1. It is myself.
2. She and me are twins.
3. Each of these girls have wide eyes.
4. Neither of these cars are worth the money.
5. Both didn’t attend the meeting.
6. We all didn’t go.
7. Sharma plays cricket better than me.
8. Any one of these two boys are sent for training.
9. I haven’t got some pens.
10. If I were him. I wouldn’t have played the game.
11. Only they who have admit passes will be allowed in.
12. Drink water which tastes better.
13. Every woman raised their voice.
14. Sheila and Nancy like one another.
15. My neighbour that works in a bank has gone to Mumbai.
16. My three sisters like each other.
17. Divide the pieces of bread between him and me.
18. Shrika is senior than Srihan.
19. These all mangoes are ripe.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

20. There are no less than ten thousand books in this library..
21. She is worst than her cousin.
22. This picture is the best of the two.
Answer:
1. It is I.
2. She and I are twins.
3. Each of these girls has wide eyes.
4. Neither of these cars is worth the money.
5. Neither attend the meeting.
6. None of us went.
7. Sharma plays cricket better than I.
8. Either of these two boys is sent for training.
9. I haven’t got any pens.
10. If I were he, I wouldn’t have played the game.
11. Only those who have admit passes will be allowed in.
12. Drink water that tastes better.
13. Every woman raised her voice.
14. Sheila and Nancy like each other.
15. My neighbour who works in a bank has gone to Mumbai.
16. My three sisters like one other.
17. Divide the pieces of bread between he and I.
18. Shrika is senior to Srihan.
19. All these mangoes are ripe.
20. There are no fewer than ten thousand books in this library.
21. She is worse than her cousin.
22. This picture is the better of the two.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

V. Rewrite the following sentences after correcting the errors.

1. I need an advice from an expert.
2. He is more better than she.
3. This is the most best book I have read.
4. Virat Kohli is better than any cricketer in India.
5. This is strongest of any other metals.
6. She has been helping the poors.
7. The two first chapters are very interesting.
8. I am hopeless about his success.
9. She was not smart early.
10. This is a worth reading novel.
11. He hasn’t written much stories.
12. Open your book at six page.
13. This is a best book.
14. Ooty is cool than Thirupathi.
15. I paid him rupees hundred.
Answer:
1. I need a piece of advice from an expert.
2. He is better than she.
3. This is the best book I have read.
4. Virat Kohli is better than any other cricketer in India.
5. This the strongest of all metals.
6. She has been helping the poor.
7. The first two chapters are very interesting.
8. I have no hope of his success.
9. She was not smart earlier.
10. This is a novel worth reading.
11. He hasn’t written many stories.
12. Open your book at page six.
13. This is a very good book.
14. Ooty is cooler than Thirupathi.
15. I paid him a hundred rupees.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

VI. Rewrite the following sentences after correcting the errors.

1. Sania Mirza is more popular than any tennis player.
2. Of the two this is the best article.
3. Our apartment is on third floor.
4. When Rome was burning, Nero is playing on the flute.
5. She enjoys to sing patriotic songs.
6. Why you were absent yesterday ?
7. She scarce blames others.
8. This is different to others.
9. She resembles to her mother.
10. I was prevented to do my work.
11. Would you mind to open the door ?
Answer:
1. Sania Mirza is more popular than any other tennis player.
2. Of the two this is the better article.
3. Our apartment is on the third floor.
4. When Rome was burning, Nero was playing on the flute.
5. She enjoys singing patriotic songs.
6. Why were you absent yesterday ?
7. She scarcely blames others.
8. This is different from others.
9. She resembles her mother.
10. I was prevented from doing my work.
11. Would you mind opening the door ?

TS Inter 1st Year English Grammar Correction of Errors in Sentences

VII. Rewrite the following sentences after correcting the errors.

1. My brother is working in tribal area.
2. I have an urgent business.
3. Kaleshwaram Project is built on Godavari.
4. Moon is very bright today.
5. I shall be visiting UK next month.
6. Himalayas form the northern boundary of India.
7. We should love the nature.
8. The Calcutta is a big city.
9. I have read Ramayana thrice.
10. David goes to the church every Sunday.
11. The gold is a precious metal.
12. He can play sitar well.
13. Lion is the king of beasts.
14. I had the lunch at noon.
15. I met my friend at college.
Answer:
1. My brother is working in a tribal area.
2. I have (some) urgent business.
3. Kaleshwaram Project is built on the Godavari.
4. The Moon is very bright today.
5. I shall be visiting the UK next month.
6. The Himalayas form the northern boundary of India.
7. We should love nature.
8. Calcutta is a big city.
9. I have read the Ramayana thrice.
10. David goes to church every Sunday.
11. Gold is a precious metal.
12. He can play the sitar well.
13. The Lion is the king of beasts.
14. I had lunch at noon.
15. I met my friend at the college.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

VIII. Rewrite the following sentences after correcting the errors.

1. One of my friends have gone to the UAE.
2. Each of the girls were given the medals.
3. Everyone of the workers have stayed away from work.
4. Neither of the participants were able to win the match.
5. Age and experience bring wisdom to man.
6. Bread and butter are my favourite breakfast.
7. Where you are going ?
8. When vou will come here again ?
9. He asked me if I am going to Dubai.
10. I asked her if she is learning dance.
11. You are married, isn’t it ?
12. I like skating, do I ?
13. As I was ill so I could not go.
14. Both Hari as well as Krishna came to see me.
15. She said that she saw him last night.
16. The train left before I arrived.
17. I had been to Vijayawada yesterday.
18. I took my supper.
19. He knows to swim.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

20. She cut her pencil.
21. I said to him to go.
22. He gave a speech.
23. He made a lecture.
24. My tooth is painting.
25. He made a goal.
Answers:
1. One of my friend has gone to the UAE.
2. Each of the girls was given the medals.
3. Everyone of the workers has stayed away from work.
4. Neither of the participants was able to win the match.
5. Age and experience brings wisdom to man.
6. Bread and butter is my favourite breakfast.
7. Where are you going ?
8. When will you come here again ?
9. He asked me if I was going to Dubai.
10. I asked her if she was learning dance.
11. You are married, aren’t you ?
12. I like skating, don’t I ?
13. As I was ill I could not go. (OR)
I was ill so I could not go.
14. Both Hari and Krishna came to see me. (OR)
Hari as well as Krishna came to see me.
15. She said that she had seen him last night.
16. The train had left before I arrived.
17. I went to Vijayawada yesterday.
18. I had my supper.
19. He knows how to swim.
20. She sharpened her pencil.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

21. I told him to go.
22. He made a speech.
23. He gave a lecture.
24. My tooth is aching.
25. He scored a goal.

IX. Rewrite the following sentences after correcting the errors.

1. I am too glad to see you.
2. This coffee is very hot to drink.
3. She is very much sorry.
4. You are leaving back your bag.
5. You can lift it by and by.
6. We scarcely see a lion.
7. He behaved cowardly.
8. Sarojini Naidu was called as the Nightingale of India.
9. She works very hardly.
10. He speaks English very good.
11. His version is somewhat true.
12. She speaks the truth always.
13. He comes to me often.
14. Most likely the shops will remain closed tomorrow.
15. The whole India is proud of his achievement.
Answer:
1. I am very glad to see you.
2. This coffee is too hot to drink.
3. She is very sorry.
4. You are leaving behind your bag.
5. You can lift it little and little.
6. We rarely see a lion.
7. He behaved in a cowardly manner.
8. Sarojini Naidu was called the Nightingale of India.
9. She works very hard.
10. He speaks English very well.
11. His version is partly true.
12. She always speaks the truth.
13. He often comes to me.
14. Most probably the shops will remain closed tomorrow.
15. The whole of India is proud of his achievement.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

X. Rewrite the following sentences after correcting the errors.

1. I have ordered for three dishes.
2. He entered into the hall.
3. She has married with her cousin.
4. We are awaiting for the train.
5. He has been suffering with Corona.
6. She covered her head by a shawl.
7. They waited three hours.
8. I enquired her where her husband was.
9. He went for riding.
10. She is called with different names.
11. Sion the document with ink.
12. This is a comfortable house to live.
13. I filled water in the bucket.
14. I shall explain them this.
15. I travelled by my Principal’s car.
16. She was accused for stealing a gold ring.
17. He congratulated me for my success.
18. She got down the bus at Mancherial.
19. I don’t agree for your proposal.
20. This is the road to go.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

21. Though he is fat, but he runs fast.
22. Scarcely had he gone than the phone rang.
23. No sooner had he gone when the officer came.
24. She is not only beautiful but intelligent.
25. I doubt that he will get through the exam.
26. He was handsome but everyone admired him.
27. You are not right nor wrong.
28. Wait while I come.
29. Unless you do not try, you will never succeed.
30. City life is tense and village life is relaxed.
Answers:
1. I have ordered three dishes.
2. He entered the hall.
3. She has married her cousin.
4. We are awaiting the train./We are waiting for the train.
5. He has been suffering from Corona.
6. She covered her head with a shawl.
7. They waited for three hours.
8. I enquired of her where her husband was.
9. He went riding. OR He went for a ride.
10. She is called by different names.
11. Sign the document in ink.
12. This is a comfortable house to live in.
13. I filled the bucket with water.
14. I shall explain this to them.
15. I travelled in my Principal’s car.
16. She was accused of stealing a gold ring.
17. He congratulated me on my success.
18. She got down from the bus at Mancherial.
19. I don’t agree to your proposal.
20. This is the road to go by.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

21. Though he is fat, he runs fast.
22. Scarcely had he gone when the phone rang.
23. No sooner had he gone than the officer came.
24. She is not only beautiful but also intelligent.
25. I doubt whether he will get through the exam.
26. He was handsome and everyone admired him.
27. You are neither right nor wrong.
28. Wait till I come.
29. Unless you try, you will never succeed.
30. City life is tense but village life is relaxed.

XI. Rewrite the following sentences after correcting the errors.

1. A bouquet of yellow roses lend colour and fragrance.
2. Here is the keys.
3. Two miles are too far to walk.
4. If I was a bird, I would fly.
5. I wish it was Sunday.
6. All the staff are here.
7. The captain with his men were killed.
8. It is a two days programme.
9. Neither he came nor he wrote.
10. One of my friend is here.
11. He enioyed at the party.
12. He is in class tenth.
13. He gave his examination.
14. Columbus invented America.
15. Edison discovered electric bulb.
16. Never I have seen such a mess.
17. Should I cut this word ?
18. He asked a help.
19. They insisted to pay.
20. Choose the best of the two options.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

21. He went to foreign.
22. I asked a question to him.
23. We are doing Yoga every day.
24. All the roads are covered by snow.
25. He does not care for my words.
Answers:
1. A bouquet of yellow roses lends colour and fragrance.
2. Here are the keys.
3. Two miles is too far to walk.
4. If I were a bird, I would fly.
5. I wish it were Sunday.
6. All these staff is here.
7. The captain with his men was killed.
8. It is a two day programme.
9. Neither did he come nor did he write.
10. One of my friends is here.
11. He enjoyed himself at the party.
12. He is in class ten.
13. He took his examination.
14. Columbus discovered America.
15. Edison invented electric bulb.
16. Never have I seen such a mess.
17. Should I erase this word ?
18. He asked for help.
19. They insisted on paying.
20. Choose, the better of the two options.
21. He went abroad.
22. I, asked him a question.
23. We do Yoga every day.
24. All the roads are covered with snow.
25. He pays no attention to what I say.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

XII. Rewrite the following sentences after correcting the errors.

1. We elected Ram as President.
2. Did you went to school yesterday ?
3. She explained me the matter.
4. Are you really interested with English grammar ?
5. Bring me half glass water.
6. Every Sunday we go to the church.
7. He plays tennis, isn’t he ?
8. I returned back from London.
9. A bend in the road is not an end of the road.
10. I must change my cloths at once.
Answers:
1. We elected Ram President.
2. Did you go to school yesterday ?
3. She explained the matter to me.
4. Are you really interested in English Grammar ?
5. Bring me half a glass water.
6. Every Sunday we go to church.
7. He plays tennis, doesn’t he ?
8. I returned from London.
9. A bend in the road is not the end of the road.
10. I must change my clothes at once.

TS Inter 1st Year English Grammar Correction of Errors in Sentences

TS Inter 1st Year Maths 1A Product of Vectors Important Questions Long Answer Type

Students must practice these Maths 1A Important Questions TS Inter 1st Year Maths 1A Product of Vectors Important Questions Long Answer Type to help strengthen their preparations for exams.

TS Inter 1st Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 1.
By the vector method, prove that altitudes of a triangle are concurrent.
Answer:
Let A, B, C be the vertices of a triangle.
Let \(\overline{\mathrm{OA}}\) = a̅, \(\overline{\mathrm{OB}}\) = b̅, \(\overline{\mathrm{OC}}\) = c̅
Let the altitudes through A, B meet at H and \(\overline{\mathrm{OH}}\) = r̅ (say)
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 1
Now \(\overline{\mathrm{AH}} \perp \overline{\mathrm{BC}} \Rightarrow \overline{\mathrm{AH}} \cdot \overline{\mathrm{BC}}=0 \Rightarrow(\overline{\mathrm{OH}}-\overline{\mathrm{OA}}) \cdot(\overline{\mathrm{OC}}-\overline{\mathrm{OB}})\) = 0
⇒ (r̅ – a̅). (c̅ – b̅) = 0
⇒ r̅ . (c̅ – b̅) – a̅. (c̅ – b̅) = 0 ……………(1)

Also \(\overline{\mathrm{BH}} \perp \overline{\mathrm{AC}} \Rightarrow \overline{\mathrm{BH}} \cdot \overline{\mathrm{AC}}=0 \Rightarrow(\overline{\mathrm{OH}}-\overline{\mathrm{OB}}) \cdot(\overline{\mathrm{OC}}-\overline{\mathrm{OA}})\) = 0
⇒ (r̅ – b̅). (c̅ – a̅) = 0
⇒ r̅ .(c – a̅) – b̅.(c̅ – a̅) = 0 ………….(2)

(1) – (2) ⇒ r̅ . (c̅ – b̅) – a̅. (c̅ – b̅) – r . (c̅ – a̅) + b̅. (c̅ – a̅) = 0
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 2
⇒ r̅ . (a̅ – b̅) – c̅ (a̅ – b̅) = 0
⇒ (r̅ – c̅) . (a̅ – b̅) = 0
⇒ \((\overline{\mathrm{OH}}-\overline{\mathrm{OC}}) \cdot(\overline{\mathrm{OA}}-\overline{\mathrm{OB}})\) = 0
⇒ \((\overline{\mathrm{OH}}-\overline{\mathrm{OC}}) \cdot(\overline{\mathrm{OA}}-\overline{\mathrm{OB}})=0 \Rightarrow \overline{\mathrm{CH}} \cdot \overline{\mathrm{BA}}=0 \Rightarrow \overline{\mathrm{CH}} \perp \overline{\mathrm{BA}}\)
∴ The altitude through C also passes through H.
∴ The altitudes of a Ale are concurrent.

Question 2.
By vector method, prove that the perpendicular bisectors of the sides of a triangle are concurrent. [Mar. ’92]
Answer:
Let A, B, C be the vertices of a triangle. Let \(\overline{\mathrm{OA}}\) = a, \(\overline{\mathrm{OB}}\) = b, \(\overline{\mathrm{OC}}\) = c
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 3
Let D, E, F are the midpoints of BC, CA, AB respectively
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 4
∴ The bisector of AB passes through ‘O’.
∴ The perpendicular bisectors of a triangle are concurrent.

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 3.
If a̅, b̅, c̅ be three vectors. Then show that (a̅ × b̅) × c̅ = (a̅. c̅) b̅ – (b̅ . c̅) a̅.
Answer:
Let a̅ = a1 i̅ + a2 j̅ + a3k̅, b̅ = b1 i̅ + b2 j̅ + b3k̅ and c̅ = c1 i̅ + c2 j̅ + c3
= i̅ (a2b3 – a3b2) – j̅ (a1b3 – a1b3) + k̅ (a1b2 – a2b1)

(a̅ × b̅) × c̅ = \(\left|\begin{array}{ccc}
\bar{i} & \bar{j} & \bar{k} \\
a_2 b_3-a_3 b_2 & a_3 b_1-a_1 b_3 & a_1 b_2-a_2 b_1 \\
c_1 & c_2 & c_3
\end{array}\right|\)
= i̅(a3b1c3 – a1b3c3 – a1b2c2 + a2b1c2) – j̅(a2b3c3 – a3b2c3 – a1b2c1 + a2b1c1) + k̅ (a2b3c2 – a3b2c2 – a3b1c1 + a1b3c1)
c̅.a̅ = (c1i̅ + c2j̅ + c3k̅). (a1i̅ + a2j̅ + a3k̅) = c1a1 + c2a2 + c3a3
c̅.b̅ = (c1i̅ + c2j̅ + c3k̅). (b1̅ + b2j̅ + b3k̅) = c1b1 + c2b2 + c3b3

Now (c̅.a̅)b̅ – (c̅.b̅)a̅ = (c1a1 + c2a2 + c3a3) (b1 i + b2 j + b3k) – (c1b1 + c2b2 + c2b3) (a1 i̅ + a2j̅ + a3k̅)
= a1b1c1 i̅ + a1b2c1 j̅ + a1b3c1 k̅ + a2b1c2 i̅ + a2b2c2j̅ + a2b3c2 k̅ + a3b1c3 i̅ + a3b2c3 i̅ + a3b2c3 j̅ + a3b3c3 k̅ – a1b1c1i̅ – a2b1c1j̅ – a3b21c1 k̅ – a1b2c2 i̅ – a1b2c2 j̅ – a3b2c2k̅ – a1b3c3i̅ – a2b3c3j̅ – a3b3c3
= i̅(a2b1c2 + a3b1c3 – a1b2c2 – a1b3c3) – j̅(-a1b2c1 – a3b2c3 + a2b1c1 + a22b3c3) + k̅(a1b3c1 + a2b3c2 – a3b1c1 – a3b2c2)
∴ (a̅ × b̅) × c̅ = (a̅. c̅) b̅ – (b̅ . c̅) a̅

Question 4.
Find the equation of the plane passing through the points A = (2, 3, -1), B = (4, 5, 2) and C = (3, 6, 5).
Answer:
Let the position vectors of the points A, B and C with respect to the origin ‘O’ are
\(\overline{\mathrm{OA}}\) = 2 i̅ + 3 j̅ – k̅; \(\overline{\mathrm{OB}}\) = 4 i̅ + 5 j̅ + 2k̅; \(\overline{\mathrm{OC}}\) = 3 i̅ + 6 j̅ + 5k̅
Let r̅ = OP = x i̅ + y j̅ + zk̅ be the position vector of any point P in the plane of ΔABC.
AP = OP-OA = xi̅ + yj̅ + zk̅ – 2i̅ – 3j̅ + k̅ = (x – 2)i̅ + (y – 3)j̅ +(z + 1)k̅
AB = OB – OA = 4i̅ + 5j̅ + 2k̅ – 2i̅ – 3j̅ + k̅ = 2i̅ + 2j̅ + 3k̅
AC = OC -OA = 3i̅ + 6j̅ + 5k̅ – 2i̅ – 3j̅ + k̅ = i̅ + 3j̅ + 6k̅
The equation of the plane passing through the points A, B and C is \([\overline{\mathrm{AP}} \overline{\mathrm{AB}} \overline{\mathrm{AC}}]\) = 0
⇒ \(\left|\begin{array}{ccc}
x-2 & y-3 & z+1 \\
2 & 2 & 3 \\
1 & 3 & 6
\end{array}\right|\) = 0
⇒ (x – 2) [12 – 9] – (y – 3) [12 – 3] + (z + 1) [6 – 2] = 0
⇒ (x – 2) (3) – (y – 3) (9) + (z + 1) (4) = 0
⇒ 3x – 6 – 9y + 27 + 4z + 4 = 0
⇒ 3x – 9y + 4z + 25 = 0.

Question 5.
Find the equation of the plane passing through the point A = (3, -2, -1) and parallel to the vectors b̅ = i̅ – 2j̅ + 4k̅ and c̅ = 3i̅ + 2j̅ – 5k̅. [May ’01]
Answer:
The position vector of the point with respect to origin O’ is OA = 3 i̅ – 2 j̅ – k̅
Given b = i̅ – 2j̅ + 4k̅, c = 3i̅ + 2j̅ – 5k̅
Let r̅ = \(\overline{\mathrm{OP}}\) = xi̅ + yj̅ + zk̅ be the position vectqr of any point P in the plane of AABC.
\(\overline{\mathrm{AP}}=\overline{\mathrm{OP}}-\overline{\mathrm{OA}}\) = xi̅ +yj̅ + zk̅ – 3i̅ +2j̅ + k̅ = (x – 3)i̅ +(y + 2)j̅ +(z + 1)k̅

The equation of the plane passing through the point A parallel to the vectors b̅ & c̅ is [\(\overline{\mathrm{AP}} b̅ c̅ ] = 0
⇒ \left|\begin{array}{ccc}
x-3 & y+2 & z+1 \\
1 & -2 & 4 \\
3 & 2 & -5
\end{array}\right|\) = 0
⇒ (x – 3)[10 – 8] – (y + 2)[-5 – 12] + (z + 1)[2 + 6] = 0
⇒ (x + 3)(2) – (y + 2)(-17) + (z + 1)(8) = 0
⇒ 2x – 6 + 17y + 34 + 8z + 8 = 0
⇒ 2x + 17y + 8z + 36 = 0.

Question 6.
Find the shortest distance between the skew lines r̅ = (6i̅ + 2j̅ + 2k̅) + t (i̅ – 2j̅ + 2k̅) and r̅ = (-4i̅ – k̅) + s (3i̅ – 2j̅ – 2k̅).
Answer:
Given equations of the straight lines are r̅ = (6 i̅ + 2j̅ +2k̅) + t(i̅ – 2j̅ + 2k̅)
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 5
Comparing this equation with r̅ = a̅ + tb̅
a̅ = 6 i̅ + 2 j̅ + 2k̅, b̅ = i̅ – 2j̅ + 2k̅
r̅ = (- 4 i̅ – k̅) + s (3 i̅ – 2 j̅ – 2k̅)

Comparing this equation with r̅ = c̅ + sd̅
c̅ = -4i̅ – k̅, d̅ = 3i̅ – 2j̅ – 2k̅
a̅ – c̅ = 6i̅ + 2j̅ + 2k̅ + 4i̅ + k ̅= 10i̅ + 2j̅ + 3k̅
[a̅ – c̅ b̅d̅] = \(\left|\begin{array}{ccc}
10 & 2 & 3 \\
1 & -2 & 2 \\
3 & -2 & -2
\end{array}\right|\) = 10(4 + 4) – 2(-2-6) + 3(-2 + 6)
= 10(8) – 2(-8) + 3(4) = 80 + 16 + 12 = 108

b̅ × d̅ =
= i̅(4 + 4) – j̅(-2-6) + k̅(-2+6) = 8i̅ + 8j̅ + 4k̅

|b̅ × d̅| = \(\sqrt{8^2+8^2+4^2}\)
= \(\sqrt{64+64+16}=\sqrt{144}\)
= 12

The shortest distance between the two skew lines is
PQ = \(\frac{\mid\left[\begin{array}{ll}
\overline{\mathrm{a}}-\overline{\mathrm{c}} & \overline{\mathrm{b}} \overline{\mathrm{d}}]
\end{array} \mid\right.}{|\overline{\mathrm{b}} \times \overline{\mathrm{d}}|}=\frac{|108|}{12}=\frac{108}{12}\) = 9

Question 7.
If A = (1, – 2, – 1), B = (4,0, – 3), C = (1, 2, – 1) and D = (2, – 4, – 5), find the distance between \(\overline{\mathrm{A B}}\) and \(\overline{\mathrm{C D}}\).
Answer:
Given points are A = (1, – 2, – 1), B = (4, 0, – 3), C = (1, 2, – 1), D = (2, -4,-5)
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 6
The vector equation of the straight line passing through the points A and B is
r = (1 – t)a̅ + tb̅, t ∈ R = (1 – t) (i̅ – 2j̅ – k̅) + t(4 i̅ – 3k̅) = i̅ – 2j̅ – k̅ – ti̅ + 2t j̅ + tk̅ + 4ti̅ – 3tk̅
= (i̅ – 2j̅ – k̅) + 3ti̅ +2tj̅ – 2tk̅
r = (i̅ – 2j̅ – k̅) + t(3i̅ + 2j̅ – 2k̅)

Comparing this equation with r̅ = a̅ + tb̅
We get a̅ = i̅ – 2 j̅ – k̅, b̅ = 3 i̅ + 2 j̅ – 2k̅

The vector equation of a straight line passing through the points C and D is
r̅ = (1 – s) c̅ + sd̅, s ∈ R = (1 – s) (i̅ + 2j̅ – k̅) + s(2i̅ – 4j̅ – 5k̅)
= i̅ + 2j̅ – k̅ – si̅ — 2s j̅ + sk̅ + 2si̅ – 4s j̅ – 5sk̅
= i̅ + 2j̅ – k̅ + si̅ – 6sj̅ – 4sk̅
r = (i̅ – 2 j̅ – k̅) + s(i̅ – 6j̅ – 4k̅)

Comparing this equation with r = c̅ + sd̅, we get c̅ = i̅ + 2j̅ – k̅, d̅ = i̅ – 6j̅ – 4k̅
a̅ – c̅ = i̅ – 2j̅ – k̅ – i̅ – 2j̅ + k̅ = – 4j̅
[a̅ – c̅ b̅d̅] = \(\left|\begin{array}{rrr}
0 & -4 & 0 \\
3 & 2 & -2 \\
1 & -6 & -4
\end{array}\right|\)
= 0(-8 – 12) + 4(-12 + 2) + 0(-18 – 2) = 0 + 4(-10) + 0 = -40

b̅ × d̅ = \(\left|\begin{array}{ccc}
\overline{\mathbf{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
3 & 2 & -2 \\
1 & -6 & -4
\end{array}\right|\)
= i̅(-8 – 12) – j̅(-12 + 2) + k̅(-18 – 2) = 20i̅ + 10j̅ – 20k̅

b̅ × d̅ = \(\sqrt{(-20)^2+(10)^2+(-20)^2}\)
= \(\sqrt{400+100+400}=\sqrt{900}\)
= 30

The shortest distance between the two skew lines is PQ = \(\frac{\left|\left[\begin{array}{ll}
\bar{a}-\bar{c} & \bar{b} \bar{d}
\end{array}\right]\right|}{|\bar{b} \times \bar{d}|}=\frac{|-40|}{30}=\frac{4}{3}\)

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 8.
If a̅ = i̅ – 2j̅ + k̅, b̅ = 2i̅ + j̅ + k̅, c̅ = i̅ + 2j̅ – k̅ find a̅ × (b̅ × c̅) and |(a̅ × b̅) × c̅|.
Answer:
Given vectors are a̅ = i̅ – 2j̅ + k̅, b̅ = 2i̅ + j̅ + k̅, c̅ = i̅ + 2j̅ – k̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 7

Question 9.
If a̅ = i̅ – 2j̅ – 3k̅, b̅ = 2i̅ + j̅ – k̅ and c̅ = i̅ + 3j̅ – 2k̅, verify that a̅ × (b̅ × c̅) = (a̅ × b̅) × c̅. [Mar ’11, ’98; Mar. ’08, ’04; B.P]
Answer:
Given vectors a̅ = i̅ – 2j̅ – 3k̅, b̅ = 2i̅ + j̅ – k̅, c̅ = i̅ + 3j̅ – 2k̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 8

Question 10.
If a̅ = 2i̅ + j̅ – 3k̅, b̅ = i̅ – 2j̅ + k̅, c̅ = – i̅ + j̅ – 4k̅ and d̅ = i̅ + j̅ + k̅, then compute |(a̅ × b̅) × (c̅ × d̅)|. [Mar. ’15(TS); Mar. ’03]
Answer:
Given vectors are a̅ = 2i̅ + j̅ – 3k̅, b̅ = i̅ – 2j̅ + k̅, c̅ = – i̅ + j̅ – 4k̅, d̅ = i̅ + j̅ + k̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 9

Question 11.
If a̅ = i̅ – 2j̅ + 3k̅, b̅ = 2i̅ + j̅ + k̅, c̅ = i̅ + j̅ + 2k̅, then find |(a̅ × b̅) × c̅| and |a̅ × (b̅ × c̅)|. [Mar. ’18(TS); Mar ’13]
Answer:
Given vectors are a̅ = i̅ – 2j̅ + 3k̅, b̅ = 2i̅ + j̅ + k̅, c̅ = i̅ + j̅ + 2k̅
Now (a̅ × b̅) × c̅ = (a̅. c̅)b̅ – (b̅. c̅) a̅
= [(i̅ – 2j̅ + 3k̅). (i̅ + j̅ + 2k̅)] b̅ – [(2i̅ + j̅ + k̅). (i̅ + j̅ + 2k̅)]a̅
= (1 – 2 + 6)b̅ – (2 + 1 + 2)a̅ = 5b̅ – 5a̅
= 5 [2i̅ + j̅ + k̅ – i̅ + 2j̅ – 3k̅] = 5 [i̅ + 3j̅ – 2k̅]
|(a̅ × b̅) × c̅| = 57l + 9 + 4 = 57l4

a̅ × (b̅ × c̅) = (a̅. c̅)b̅ – (a̅. b̅) c̅
= [(i̅ – 2j̅ + 3k̅). (i̅ + j̅ + 2k̅)] b̅ – [(i̅ – 2j̅ + 3k̅). (2i̅ + j̅ + k̅)]c̅
= (1 – 2 + 6) b̅ – (2 – 2 + 3) c̅ = 5b̅ – 3c̅
= 5 (2 i̅ + j̅ + k̅) — 3(i̅ + j̅ + 2k̅) = 7 i̅ + 2 j̅ – k̅
Hence |a̅ × (b̅ × c̅) | = |7i̅ + 2j̅ – k̅|
= \(\sqrt{49+4+1}=\sqrt{54}\) = 3√6

Question 12.
Let a̅ = 2i + j – 2k, b̅ = i + j. If c isavec- tor such that a̅.c̅ = |c̅|,|c̅-a̅| = 2√2 and the angle between a̅ × b̅ and c is 30°, then find the value of |(a̅ × b̅) × c̅|. [May ’15(TS)]
Answer:
Given that a̅ = 2i̅ + j̅ – 2k̅, b̅ = i̅ + j̅
⇒ |a̅| = \(\sqrt{4+1+4}\) = √9 =3, |b̅| = \(\sqrt{1+1}\) = √2
also, a̅ . c̅ = |c̅| and |c̅ – a̅| = 2√2
⇒ (c̅ – a̅)2 = 8 ⇒ |c̅|2 + |a̅|2 – 2c̅.a̅ = 8
⇒ |c| + 9 – 2|c̅| = 8 ⇒ |c̅| — 2|c̅| + 1 = 0
⇒ (|c̅| – 1) = 0 ⇒ |c̅| = 1

Now a̅ × b̅ = \(\left|\begin{array}{ccc}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
2 & 1 & -2 \\
1 & 1 & 0
\end{array}\right|\)
= i̅(0 + 2) – j̅(0 + 2) + k̅ (2 – 1) = 2i̅ – 2j̅ + k̅
|a̅ × b̅| = ^/4 + 4 + l =3
|(a̅ × b̅) × c̅| = |a̅ × b̅| |c̅| sin (a̅ × b̅, c̅)
= |a̅ × b̅| |c̅| sin 30° = 3.1.\(\frac{1}{2}=\frac{3}{2}\)

Some More Maths 1A Product of Vectors Important Questions

Question 1.
If a̅ = 6i̅ + 2j̅ + 3k̅ and b̅ = 2i̅ – 9j̅ + 6k̅ then find a̅. b̅ and the angle between a̅ and b̅.
Answer:
Given a̅ = 6i̅ + 2j̅ + 3k̅ and b̅ = 2i̅ – 9j̅ + 6k̅
Now a̅.b̅ = (6i̅ + 2j̅ + 3k̅).(2i̅ – 9j̅ + 6k̅) = 12 – 18 + 8 = 12
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 10
Let ‘θ’ be the angle between a̅ & b̅ then cos θ = \(\frac{\overline{\mathrm{a}} \cdot \overline{\mathrm{b}}}{|\overline{\mathrm{a}}||\overline{\mathrm{b}}|}=\frac{12}{7.11}=\frac{12}{77}\)
∴ θ = cos-1\(\left(\frac{12}{77}\right)\)

Question 2.
For what values of λ, the vectors i̅ – λj̅ + 2k̅ and 8i̅ + 6 j̅ – k̅ are at right angles ?
Answer:
Let a̅ = i̅ – λj̅ + 2k̅ and b̅ = 8i̅ + 6j̅ – k̅
Since a,b form a right angle i.e., the vectors a and b are perpendicular then a̅ b̅ =0
(i̅ – λj̅ + 2k̅). (8i̅ + 6j̅ – k̅) = 0
⇒ 8 – 6λ – 2 = 0
⇒ 6 – 6λ = 0
⇒ 6λ = 6
⇒ λ = 1.

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 3.
If the vectors λi̅ – 3j̅ + 5k̅ and 2λi̅ – A,j̅ – k̅ are perpendicular to each other then find X.
Answer:
Let a̅ = λi̅ – 3j̅ + 5k̅ and b̅ = 2λi̅ – λj̅ – k̅
Since the vector a̅ = λi̅ – 3j̅ + 5k̅ and b̅ = 2λi̅ – λj̅ – k̅
(λi̅ – 3j̅ + 5k̅). (2λ.i̅ – λ j̅ -k̅) = 0
2 + 3λ – 5 = 0
2 + 5λ – 2λ – 5 = 0

λ(2λ + 5) – 1(2λ + 5) = 0
(2λ + 5) (λ – 1) = 0
2λ + 5 = 0, λ – 1 = 0
λ = \(\frac{-5}{2}\), λ = 1
∴ λ = \(\frac{-5}{2}\) (or) 1.

Question 4.
If a̅ = i̅ – j̅ – k̅ and b̅ = 2i̅ – 3j̅ + k̅, then find the projection vector of b on a and its magnitude.
Answer:
Given vectors are a̅ = i̅ – j̅ – k̅ and b̅ = 2 i̅ – 3 j̅ + k̅
The projection vector of b̅ on a̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 11

Question 5.
Find the area of the parallelogram for which the vectors a̅ = 2i̅ – 3j̅ and b̅ =3i̅ – k̅ are adjacent sides.
Answer:
Given vectors are = 2j̅ – 3j̅ and b̅ = 3i̅ – k̅
The area of the parallelogram for which the vectors and 6 are adjacent sides
= a̅ × b̅ = \(\left|\begin{array}{ccc}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
2 & -3 & 0 \\
3 & 0 & -1
\end{array}\right|\)
= i̅(3 – o) – j̅(-2 – o) + k̅(0 + 9) = 3i̅ + 2j̅ + 9k̅
∴ Area of the parallelogram = |a̅ × b̅| = \(\sqrt{(3)^2+(2)^2+(9)^2}=\sqrt{9+4+81}=\sqrt{94}\) sq.units.

Question 6.
If a̅ = 2i̅ – 3j̅ + 5k̅, b̅ = -i̅ + 4j̅ + 2k̅ then find a̅ × b̅ and unit vector perpendicular to both a̅ and b̅.
Answer:
Given a̅ = 2i̅ – 3j̅ + 5k̅, b̅ = -i̅ + 4j̅ + 2k̅
a̅ × b̅ =
= i̅(-6 – 20) – j̅(4 + 5) + k(8 – 3) = 26i̅ – 9j̅ + 5k̅
|a̅ × b̅| = \(\sqrt{(-26)^2+(-9)^2+(5)^2}=\sqrt{676+81+25}\)
= \(\sqrt{782}\)
∴ The unit vector perpendicular to both a̅ & b̅ is = \(\frac{(\overline{\mathrm{a}} \times \overline{\mathrm{b}})}{|\overline{\mathrm{a}} \times \overline{\mathrm{b}}|}=\pm \frac{(-26 \overline{\mathrm{i}}-9 \overline{\mathrm{j}}+5 \overline{\mathrm{k}})}{\sqrt{782}}\)

Question 7.
Find unit vector perpendicular to both i̅ + j̅ + k̅ and 2i̅ + j̅ + 3k̅.
Answer:
Let a̅ = i̅ + j̅ + k̅, b̅ = 2i̅ + j̅ + 3k̅
a̅ × b̅ = \(\left|\begin{array}{ccc}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
1 & 1 & 1 \\
2 & 1 & 3
\end{array}\right|\)
= i̅(3 – 1) – j̅(3 – 2) + k̅(1 – 2)
= 2i̅ – j̅ – k̅
|a̅ × b̅| = \(\sqrt{(2)^2+(-1)^2+(-1)^2}=\sqrt{4+1+1}\) = √6
∴ The unit vector perpendicular to both a̅ & b̅ is = \(\pm \frac{(\overline{\mathrm{a}} \times \overline{\mathrm{b}})}{|\overline{\mathrm{a}} \times \overline{\mathrm{b}}|}=\pm \frac{(2 \overline{\mathrm{i}}-\overline{\mathrm{j}}-\overline{\mathrm{k}})}{\sqrt{6}}\)

Question 8.
If θ is the angle between the vector i̅ + j̅ and j̅ + k̅, then find sin θ.
Answer:
Let a̅ = i̅ + j̅ , b̅ = j̅ + k̅
a̅ × b̅ = \(\left|\begin{array}{ccc}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
1 & 1 & 0 \\
0 & 1 & 1
\end{array}\right|\)
= i̅(1 – 0) – j̅(1 – 0) + k̅(1 – 0) = i̅ – j̅ + k̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 12
If ‘θ’ is the angle between the vector a̅ & b̅ then sin θ = \(\frac{(\overline{\mathrm{a}} \times \overline{\mathrm{b}})}{|\overline{\mathrm{a}}| \overline{\mathrm{b}} \mid}=\frac{\sqrt{3}}{\sqrt{2} \cdot \sqrt{2}}=\frac{\sqrt{3}}{2}\)

Question 9.
If a̅ = (1, – 1, -6), b̅ = (1, -3, 4) and c̅ = (2, -5, 3), then compute a̅.(b̅ × c̅).
Answer:
Given a̅ = (1, – 1, -6), b̅ = (1, -3, 4), c̅ = (2, -5, 3)
Now a̅.(b̅ × c̅) = [a̅ b̅ c̅]= 1 —3 4
= 1(-9 + 20) + 1(3 – 8) – 6(-5 + 6)
= 11 – 5 – 6 = 0

Question 10.
Find the volume of the parallelopiped whose coterminus edges are represented by the vectors 2i̅ – 3j̅ + k̅, i̅ -j̅ + 2k̅ and 2i̅ + j̅ – k̅ .
Answer:
Let a̅ = 2i̅ – 3j̅ + k̅, b̅ = i̅ -j̅ + 2k̅, c̅ = 2i̅ + j̅ – k̅
Volume of the parallelopiped
V = |[a̅ b̅ c̅]|
[a̅ b̅ c̅] = \(\left|\begin{array}{rrr}
2 & -3 & 1 \\
1 & -1 & 2 \\
2 & 1 & -1
\end{array}\right|\) = 2(1 – 2) + 3(-1-4) + 1(1 + 2)
= -2 – 15 + 3 = -14

∴ |[a̅ b̅ c̅]| = 14 cubic units

Question 11.
Find ‘t’ for which the vectors 2i̅ – 3j̅ + k̅, i̅ + 2j̅ – 3k̅ and j̅ – tk̅ are coplanar.
Answer:
Let a̅ = 2i̅ – 3j̅ + k̅, b̅ = i̅ + 2j̅ – 3k̅, c̅ = j̅ – tk̅
Since the vectors are coplanar then [a̅ b̅ c̅] = 0
⇒ \(\) = 0
⇒ 2(-2t + 3) + 3(-t – 0) + 1(1 – 0) = 0
⇒ -4t + 6 – 3t + 1 = 0
⇒ -7t + 7 = 0
⇒ t = 1

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 12.
If the vectors a̅ = 2i̅ – j̅ + k̅, b̅ = i̅ + 2j̅ – 3k̅ and c̅ = 3i̅ + pj̅ + 5k̅ are coplanar then find p.
Answer:
Given a̅ = 2i̅ – j̅ + k̅, b̅ = i̅ + 2j̅ – 3k̅, c̅ = 3i̅ + pj̅ + 5k̅
Since the vectors are coplanar then [a̅ b̅ c̅] = 0
⇒ \(\left|\begin{array}{ccc}
2 & -1 & 1 \\
1 & 2 & -3 \\
3 & \mathrm{p} & 5
\end{array}\right|\) = 0
= 2(10 + 3p) + 1(5 + 9) + 1(p – 6) = 0
⇒ 20 + 6p + 14 + p – 6 = 0
⇒ 7p + 28 = 0
⇒ p = -4

Question 13.
In ΔABC if \(\overline{\mathrm{B C}}\) = a̅, \(\overline{\mathrm{C A}}\) = b̅ and \(\overline{\mathrm{A B}}\) = c̅ then show that a̅ × b̅ = b̅ × c̅ = c̅ × a̅.
Answer:
a̅ + b̅ + c̅ = \(\overline{\mathrm{BC}}+\overline{\mathrm{CA}}+\overline{\mathrm{AB}}=\overline{\mathrm{BA}}+\overline{\mathrm{AB}}=\overline{0}\) (by vector addition)
∴ a̅ + b̅ = -c̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 13
⇒ a̅ × b̅ = c̅ × a̅ ………….(1) (∵ a̅ × a̅ = 0)
Again a̅ + b̅ = -c̅
(a̅ + b̅) × b̅ = -c̅ × b̅ ⇒ a̅ × b̅ + b̅ × b̅ = b̅ × c̅
⇒ a̅ × b̅ = b̅ × c̅ ……………..(2) (∵ b̅ × b̅ = 0)
∴ From (1) and (2); a̅ × b̅ = b̅ × c̅ = c̅ × a̅

Question 14.
Find a unit vector perpendicular to the plane determined by the points P(1, – 1, 2), Q(2, 0, – 1) and R (0, 2, 1).
Answer:
Let O be the origin.
\(\overline{\mathrm{OP}}\) = i̅ – j̅ + 2k̅, \(\overline{\mathrm{OQ}}\) = 2i̅ – k̅, \(\overline{\mathrm{OR}}\) = 2j̅ + k̅
\(\overline{\mathrm{PQ}}=\overline{\mathrm{OQ}}-\overline{\mathrm{OP}}\) = (2i̅ – k̅)-(i̅ – j̅ + 2k̅) = i̅ + j̅ – 3k̅
\(\overline{\mathrm{PR}}=\overline{\mathrm{OR}}-\overline{\mathrm{OP}}\) = (2j̅ + k̅) – (i̅ – j̅ + 2k̅) =-i̅ + 3j̅ – k̅

Now \(\overline{\mathrm{PQ}} \times \overline{\mathrm{PR}}\) = \(\left|\begin{array}{ccc}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
1 & 1 & -3 \\
-1 & 3 & -1
\end{array}\right|\)
= i̅(-1 + 9) – j̅(-1 – 3) + k̅(3 + 1)
= 8i̅ + 4j̅ + 4k̅
= 4(2i̅ + j̅ + k̅)

\(|\overline{\mathrm{PQ}} \times \overline{\mathrm{PR}}|=4 \sqrt{4+1+1}\) = 4√6
∴ Unit vector perpendicular to the plane determined by the points P, Q and R is
= \(\pm \frac{(\overline{\mathrm{PQ}} \times \overline{\mathrm{PR}})}{|\overline{\mathrm{PQ}} \times \overline{\mathrm{PR}}|}=\pm \frac{4(2 \overline{\mathrm{i}}+\overline{\mathrm{j}}+\overline{\mathrm{k}})}{4 \sqrt{6}}=\pm\left(\frac{2 \overline{\mathrm{i}}+\overline{\mathrm{j}}+\overline{\mathrm{k}}}{\sqrt{6}}\right)\)

Question 15.
If a̅, b̅ and c̅ are non coplanar vectors, then prove that the four points with position vectors 2a̅ + 3b̅ – c̅, a̅ – 2b̅ + 3c̅, 3a̅ + 4b̅ – 2c̅ and a̅ – 6b̅ + 6c̅ are coplanar.
Answer:
Suppose A, B, C, D are the given points with respect to a fixed origin ‘O’ and given that
\(\overline{\mathrm{OA}}\) = 2a̅ + 3b̅ – c̅,
\(\overline{\mathrm{OB}}\) = a̅ – 2b̅ + 3c̅ ,
\(\overline{\mathrm{OC}}\) = 3a̅ + 4b̅ – 2c̅ and
\(\overline{\mathrm{OD}}\) = a̅ – 6b̅ + 6c̅
\(\overline{\mathrm{AB}}=\overline{\mathrm{OB}}-\overline{\mathrm{OA}}\) = (a̅ – 2b̅ + 3c̅) – (2a̅ + 3b̅ – c̅) = – a̅ – 5b̅ + 4c̅
\(\overline{\mathrm{AC}}=\overline{\mathrm{OC}}-\overline{\mathrm{OA}}\) = (3a̅ + 4b̅ – 2c̅) – (2a̅ + 3b̅ – c̅) = a̅ + b̅ – c̅
\(\overline{\mathrm{AD}}=\overline{\mathrm{OD}}-\overline{\mathrm{OA}}\) =(a̅ – 6b̅ + 6c̅) – (2a̅ + 3b̅ – c̅) = -a̅ – 9b̅ + 7c̅
∴ \(\left[\begin{array}{lll}
\overline{\mathrm{AB}} & \overline{\mathrm{AC}} & \overline{\mathrm{AD}}
\end{array}\right]=\left|\begin{array}{rrr}
-1 & -5 & 4 \\
1 & 1 & -1 \\
-1 & -9 & 7
\end{array}\right|\) [a̅ b̅ c̅]
=[-1(7 – 9)+ 5(7 – 1)+ 4 (-9 + 1)] [a̅ b̅ c̅]
= [-1(- 2) + 5 (6) + 4 (- 8)] [a b c]
= (2 + 30 – 32) [a̅ b̅ c̅] = 0
Hence the given points A, B, C, D are coplanar.

Question 16.
If a, b, c are three vectors, then show that a̅ × (b̅ × c̅) = (a̅ . c̅) b̅ – (b̅. c̅) a̅.
Answer:
Case – (i) : If a and b are parallel, then the result is true.
Case – (ii) : If a and b are not parallel, then suppose \(\overline{\mathrm{OA}}\) = a̅ and \(\overline{\mathrm{OB}}\) = b̅ with respect to an origin O. Since a and b are not parallel we have O, A, B are non collinear and hence determine a plane.
Let i̅ be a unit vector along OA and j̅ be a unit vector perpendicular to i̅ in XY plane, k̅ is a unit vector perpendicular to XZ plane such that i̅, j̅, k̅ form a right handed system and k̅ = i̅ × j̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 14
∴ a̅ = a1i̅, b̅ = b1i̅ + b2j̅, c̅ = c1i̅ + c2j̅ + c3k̅ for a1, b1, c1, c2, c3, b2 being scalars.
Since a̅ and b̅ are non parallel,
a̅ × b̅ = a1i̅ × (b1j̅ i̅ + b2j̅) = a1b2
∴ (a̅ × b̅) × c̅ = (a1b2k) × (c1i̅  + c2j + c3k) = a1b2c1j̅ – a1b2c2i̅ ……………….(1)
(a̅.c̅)b̅ —(b̅.c̅)a̅ = a1c1 (b1i̅ + b2j̅) – (b1c1 + b2c2) a1i̅ = a1c1b2j̅ – a1b2c2i̅ ……………. (2)
From (1) and (2),
∴ (a̅ × b̅) × c̅ = (a̅.c̅)b̅ – (b̅.c̅)a̅

Question 17.
Find the cartesian equation of the plane through the point A (2, – 1, – 4) and parallel to the plane 4x – 12y – 3z – 7 = 0.
Answer:
The equation of the parallel plane is 4x – 12y – 3z = p
It passes through A (2, – 1, – 4) then 4 (2) – 12 (- 1) – 3 (- 4) = p
⇒ 8 + 12 + 12 = p
⇒ p = 32
∴ The equation of the required plane is 4x – 12y – 3z = 32

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 18.
Find the angle between the planes 2x – 3y – 6z = 5 and 6x + 2y – 9z = 4.
Answer:
Equation of the plane is 2x – 3y – 6z = 5 ⇒ r̅ . (2 i̅ – 3 j̅ – 6k̅) = 5 …………….(1)
Similarly 6x + 2y- 9z = 4 ⇒ r̅ . (6i̅ + 2 j̅ – 9k̅) = 4 ………………(2)
If the angle between the planes r̅. n̅1 = d1 and r̅.n̅2 = d2 is θ then
cos θ = \(=\frac{\overline{\mathrm{n}}_1 \cdot \overline{\mathrm{n}}_2}{\left|\overline{\mathrm{n}}_1\right|\left|\overline{\mathrm{n}}_2\right|}\)
= \(\frac{(2 \overline{\mathrm{i}}-3 \overline{\mathrm{j}}-6 \overline{\mathrm{k}}) \cdot(6 \overline{\mathrm{i}}+2 \overline{\mathrm{j}}-9 \overline{\mathrm{k}})}{\sqrt{4+9+36} \sqrt{36+4+81}}=\frac{12-6+54}{7(11)}\)
= \(\frac{60}{77}\)
∴ θ = cos-1\(\left(\frac{60}{77}\right)\)

Question 19.
a̅ = 2i̅ – j̅ + k̅, b̅ = i̅ – 3 j̅ – 5k̅. Find the vector c̅ such that a̅, b̅ and c̅ form the sides of a triangle.
Answer:
a̅ = 2i̅ – j̅ + k̅, b̅ = i̅ – 3j̅ – 5k̅
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 15
∵ a̅, b̅, c̅ form the sides of a triangle a̅ + b̅ + c̅ = 0 (∵ \(\overline{\mathrm{AB}}+\overline{\mathrm{BC}}+\overline{\mathrm{CA}}\) = 0)
∴ c̅ = -a̅ – b̅ = -(2i̅ – j̅ + k̅) – (i̅ – 3j̅ – 5k̅) = -3i̅ + 4j̅ + 4k̅

Question 20.
Find the angle between the planes r̅ (2i̅ – j̅ + 2k̅) = 3 and r̅ . (3i̅ + 6j̅ + k̅) = 4. [Mar. ’15(TS)]
Answer:
If the angle between planes r̅.n̅1 = p1 and r̅.n̅2 = p2 is θ
then cos θ = \(\frac{\bar{n}_1 \cdot \bar{n}_2}{\left|\bar{n}_1\right| \cdot\left|\bar{n}_2\right|}=\frac{(2 \overline{\mathrm{i}}-\overline{\mathrm{j}}+2 \overline{\mathrm{k}}) \cdot(3 \overline{\mathrm{i}}+6 \overline{\mathrm{j}}+\overline{\mathrm{k}})}{\sqrt{4+1+4} \sqrt{9+36+1}}\)
= \(\frac{6-6+2}{3 \sqrt{46}}=\frac{2}{3 \sqrt{46}}\)
∴ θ = cos-1\(\left(\frac{2}{3 \sqrt{46}}\right)\)

Question 21.
If a̅ + b̅ + c̅ = 0, |a̅| = 3, |b̅| =5 and |c̅| = 7, then find the angle between a̅ and b̅.
Answer:
Given a̅ + b̅ + c̅ = 0 ⇒ c̅ =-(a̅ + b̅)
⇒ |c̅|2 = (a̅ + b̅) = a̅2 + b̅2 + 2(a̅ b̅)
⇒ 49 = 9 + 25 + 2(a̅ b̅)
⇒ 2(a̅.b̅) = 49 – 34 = 15
⇒ a̅ . b̅ = \(\frac{15}{2}\)

If θ is the angle between a and b then cos θ = \(\frac{\overline{\mathrm{a}} \cdot \overline{\mathrm{b}}}{|\overline{\mathrm{a}}||\overline{\mathrm{b}}|}=\frac{\frac{15}{2}}{3(5)}\)
= \(\frac{15}{2} \cdot \frac{1}{15}=\frac{1}{2}\)
∴ θ = cos-1\(\left(\frac{1}{2}\right)=\frac{\pi}{3}\)
∴ Angle between a̅ and b̅ is \(\frac{\pi}{3}\)

Question 22.
If |a̅| = 2, |b̅| =3 and |c̅| = 4 and each of a̅, b̅, c̅ is perpendicular to the sum of the other two vectors, then find the magnitude of a̅ + b̅ + c̅.
Answer:
Given |a̅| = 2, |b̅| = 3 and |c̅| = 4
Since each of a̅, b̅, c̅ is perpendicular to the sum of other two vectors i.e., a̅ is perpendicular to b̅ + c̅.
.\a̅ – (b̅ + c̅) = 0
⇒ a̅ – b̅ + a̅ – c̅= 0
Similarly b̅ (c̅ + a̅) = 0
⇒ b̅ c̅ + b̅ a̅ = 0 and c̅.(a̅ + b̅) = 0
⇒ c̅.a̅ + c̅.b̅ = 0
Adding we get 2 [(a̅. b̅) + (b̅. c̅) + (c̅ . a̅)] = 0 ……………..(1)
Also (a̅ + b̅ + c̅) =|a̅|2 + |b̅|2 + |c̅|2 + 2(a̅b̅ + b̅c̅ + c̅a̅)
=4 + 9 + 16 + 2(a̅b̅ + b̅c̅ + c̅a̅)
= 4 + 9 + 16 + 2 (0) = 29
∴ |a̅ + b̅ + c̅| = \(\sqrt{29}\)

Question 23.
For any two vectors a̅ and b̅ show that |a̅ × b̅|2 = \(\overline{\mathrm{a}^2} \overline{\mathrm{b}^2}-(\overline{\mathrm{a}} \cdot \overline{\mathrm{b}})^2\)
Answer:
We know that |a̅ × b̅| = |a̅| |b̅| sin θ, where ‘θ’ is the angle between a̅ and b̅.
Squaring on both sides |a̅ × b̅| = |a̅|2 |b̅|2 sin2 θ = |a̅| |b̅| (1 – cos2 θ)
= |a̅| |b̅̅| – |a̅|2 |b̅|2 cos2 θ
= \(\overline{\mathrm{a}^2} \overline{\mathrm{b}^2}-(\overline{\mathrm{a}} \cdot \overline{\mathrm{b}})^2\)

Question 24.
Find the area of the triangle formed by the two sides a̅ = i̅ + 2j̅ + 3k̅ and b̅ = 3i̅ + 5j̅ – k̅.
Answer:
Given a̅ = i̅ + 2 j̅ + 3k̅ and b̅ = 3 i̅ + 5 j̅ – k̅
Then a̅ × b̅ = \(\left|\begin{array}{rrr}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
1 & 2 & 3 \\
3 & 5 & -1
\end{array}\right|\)
= i̅(-2 – 15) – j̅(-1 – 9) + k̅(5 – 6)
= -17i̅ + 10j̅ – k̅
Area of the triangle = \(\frac{1}{2}\)|a̅ × b̅| = \(\frac{1}{2} \sqrt{289+100+1}=\frac{1}{2} \sqrt{390}\)

Question 25.
For any vector g show that |a̅ × i̅|2 + |a̅ × j̅|2 +|a̅ × k̅|2 = 2|a̅|2.
Answer:
Let a̅ = xi̅ + yj̅ + zk̅, then a̅ × i̅ = -yk̅ + zj̅
|a̅ × i̅|2 = y2 + z2
Similarly |a̅ × j̅|2 = z2 + x2 and |a̅ × k̅| = x2+ y2
∴ |a̅ × i̅|2 + |a̅ × j̅|2 + |a̅ × k̅|2 = 2(x2 + y2 + z2) = 2|a̅|2

Question 26.
Find the area of the triangle having 3i̅ + 4j̅ and – 5i̅ + 7j̅ as two of its sides.
Answer:
Area of the triangle = \(\frac{1}{2}|\overline{\mathrm{AB}} \times \overline{\mathrm{AC}}|\)
\(\overline{\mathrm{AB}} \times \overline{\mathrm{AC}}\) = (3i̅ + 4 j̅) × (- 5i̅ + 7j̅) =-15(i̅ × i̅) – 20(j̅ × j̅) + 21(i̅ × j̅) + 28(j̅ × j̅)
= 20k̅ + 21k̅ = 41k̅
∴ Area of the ΔABC = \(\frac{1}{2}\)(41) = 20.5 sq. units

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 27.
If a̅ = 2i̅ + j̅ – k̅, b̅ = -i̅ + 2j̅ – 4k̅ and c̅ = i̅ + j̅ + k̅, then find (a̅ × b̅) . (b̅ × c̅).
Answer:
Given a̅ = 2i̅ + j̅ – k̅, b̅ = -i̅ + 2j̅ – 4k̅ and c̅ = i̅ + j̅ + k̅
Then a̅ × b̅ = \(\left|\begin{array}{rrr}
\bar{i} & \bar{j} & \bar{k} \\
2 & 1 & -1 \\
-1 & 2 & -4
\end{array}\right|\)
= i̅(-4 + 2) – j̅(-8 – 1) + k̅(4 + 1) = -2i̅ + 9j̅ + 5k̅

b̅ × c̅ = \(\left|\begin{array}{rrr}
\overline{\mathrm{j}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
-1 & 2 & -4 \\
1 & 1 & 1
\end{array}\right|\)
= i̅(2 + 4) – j̅(-1 + 4) + k̅(-1 – 2) = 6i̅ – 3j̅ – 3k̅
(a̅ × b̅).(b̅ × c̅) = (-2i̅ + 9j̅ + 5k̅).(6i̅ – 3j̅ – 3k̅) = -12 – 27 – 15 = -54

Question 28.
Find the vector area and the area of the parallelogram having a̅ = i̅ + 2j̅ – k̅ and b̅ = 2i̅ – j̅ + 2k̅ as adjacent sides.
Answer:
Given a̅ = i̅ + 2 j̅ – k̅ and b̅ = 2 i̅ – j̅ + 2k̅
Then the vector area of parallelogram = a̅ × b̅
∴ (a̅ × b̅) = \(\left|\begin{array}{rrr}
\bar{i} & \bar{j} & \bar{k} \\
1 & 2 & -1 \\
2 & -1 & 2
\end{array}\right|\)
= i̅(4 – 1) – j̅(2 + 2) + k̅(-1 – 4) = 3i̅ – 4j̅ – 5k̅
Magnitude of the area = \(\sqrt{9+16+25}=\sqrt{50}\) = 5√2 sq. units

Question 29.
If a̅ × b̅ = b̅ × c̅ ≠ 0, then show that a̅ + c̅ = pb̅, where p is some scalar.
Answer:
Consider (a̅ + c̅ – pb̅) × b̅ = (a̅ × b̅) + (c̅ × b̅) – p(b̅ × b̅) = (b̅ × c̅) – (b̅ × c̅) – p(0) = 0
∴ a̅ + c̅ – pb̅ = 0
⇒ a̅ + c̅ = pb̅

Question 30.
Let a and b be vectors, satisfying |a̅|=|b̅| = 5 and (a̅, b̅) = 45°. Find the area of the triangle having a̅ – 2b̅ and 3a̅ + 2b̅ as two of its sides. [May ’15(AP); Mar. ’07] [Mar ’18(AP)]
Answer:
Area of the triangle = \(\frac{1}{2}\)|(a̅ – 2b̅) × (3a̅ + 2b̅)| ……………(1)
Now |(a̅ – 2b̅) × (3a̅ + 2b̅)| = |3(a̅ × a̅) – 2(b̅ × a̅) – 6(b̅ × a̅) – 4(b̅ × b̅)|
= |2(a̅ × b̅) + 6(a̅ × b̅)| = |8(a̅ × b̅)| = 8|a||b| sin 45°
= 8(5)(5)\(\frac{1}{\sqrt{2}}\)
= 100√2

Question 31.
Let a̅ and b̅ be vectors, satisfying |a̅| = |b̅| = 5 and (a̅, b̅) = 45°. Find the area of the triangle having a̅ – 2b̅ and 3a̅ + 2b̅ as two of Its sides. [May ’15(AP); Mar. ’07] [Mar ’18(AP)]
Answer:
Area of the triangle = \(\frac{1}{2}\)|(a̅ – 2b̅) × (3a̅ + 2b̅)| ………….(1)
Now |(a̅ – 2b̅) × (3a̅ + 2b̅)| = |3(a̅ × a̅) – 2(b̅ × a̅) – 6(b̅ × a̅) – 4(b̅ × b̅)|
= |2(a̅ × b̅) + 6(a̅ × b̅)| = |8(a̅ × b̅)| = 8|a̅||b̅| sin 45
= 8(5)(5)\(\frac{1}{\sqrt{2}}\)
= 100√2

From (1), Area of the triangle = \(\frac{1}{2}\)(100)√2 = 50√2 sq.units

Question 32.
Find the volume of the tetrahedron having the edges i̅ + j̅ + k̅; i̅ – j̅ and i̅ + 2j̅ + k̅.
Answer:
Denoting the edges by a̅ ,b̅, c̅ of tetrahedron, then its volume is
= \(\frac{1}{6}\)[a̅ b̅ c̅] = \(\frac{1}{6}\left|\begin{array}{ccc}
1 & 1 & 1 \\
1 & -1 & 0 \\
1 & 2 & 1
\end{array}\right|\) = \(\frac{1}{6}\) [1 (- 1) – 1 (1) + 1 (2 + 1)]
= \(\frac{1}{6}\) [-1 – 1 + 3] = \(\frac{1}{6}\) cubic units.

Question 33.
If a̅, b̅, c̅ are mutually perpendicular unit vectors, then find the value of [a̅ b̅ c̅]2.
Answer:
Given a̅, b̅, c̅ are mutually perpendicular unit vectors.
We have |a̅| = |b̅| = |c̅| = 1 and taking a̅ = i̅, b̅ = j̅, c̅ = k̅
We have [a̅ b̅ c̅] = [i̅ j̅ k̅] = i̅ . (j̅ × k̅) = i̅ . i̅ = 1
∴ [a̅ b̅ c̅]2 =1

Question 34.
Show that (a̅ + b̅) – (b̅ + c̅) × (c̅ + a̅) = 2 [a̅ b̅ c̅]
Answer:
(a̅ + b̅) . (b̅ + c̅) × (c̅ + a̅) = \(\left|\begin{array}{lll}
1 & 1 & 0 \\
0 & 1 & 1 \\
1 & 0 & 1
\end{array}\right|\) [a̅ b̅ c̅]
= [1(1) – 1(-1)][a̅ b̅ c̅]
= 2[a̅ b̅ c̅]

Question 35.
Prove that a̅ × [a̅ × (a̅ × b̅)] = (a̅ . a̅) (b̅ × a̅)
Answer:
L.H.S = a̅ × [a̅ × (a̅ × b̅)] = a̅ × [(a̅ . b̅)a̅ – (a̅. a̅)b̅]
= (a̅ . b̅) (a̅ × a̅) – (a̅ . a̅) (a̅ × b̅)
= (a̅ . b̅) (0) – (a̅ a̅) (a̅ × b̅)
= (a̅.a̅)(b̅ × a̅) = R.H.S.

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 36.
If a, b, c and d are coplanar vectors, then show that (a̅ × b̅) × (c̅ × d̅) = 0.
Answer:
Given a,b,c,d are coplanar vectors ⇒ a̅ × b̅ is perpendicular to the plane S.
In the similar way c̅ × d̅ is perpendicular to the plane S.
a̅ × b̅ and c̅ × d̅ are parallel vectors.
⇒ (a̅ × b̅) × (c̅ × d̅) = 0 (or) (a̅ × b̅) × (c̅ × d̅) = [a̅ c̅ d̅]b̅ – [b̅ c̅ d̅]a̅
= 0b̅ – 0a̅ = 0 (∵ a̅, b̅, c̅, d̅ are coplanar)

Question 37.
If a, b, c are non coplanar, then show that the vectors a̅ – b̅, b̅ + c̅, c̅ + a̅ are coplanar.
Answer:
Given that a̅, b̅, c̅ are non coplanar we have [a̅ b̅ c̅] ≠ 0
[a̅ – b̅ b̅ + c̅ c̅ + a̅] = [a̅ b̅ c̅] = [1 + 1(-1)][a̅ b̅ c̅] = 0
[a̅ b̅ c̅] = 0
∴ Vectors a̅ – b̅, b̅ + c̅, c̅ + a̅ are coplanar.

Question 38.
Let a̅, b̅ and c̅ be non coplanar vectors. If [2a̅ – b̅ + 3c̅, a̅ + b̅ – 2c̅, a̅ + b̅ – 3c̅] = λ [a̅ b̅ c̅] then find the value of λ.
Answer:
Given a̅, b̅, c̅ are non coplanar vectors
We have [a̅ b̅ c̅] ≠ 0
1 1 -2 [a̅ b̅ c̅] = [2 (- 3 + 2) + 1 (- 3 + 2) + 3 (1 – 1)] [a̅ b̅ c̅]
= [-2 – 1] [a̅ b̅ c̅] = -3[a̅ b̅ c̅]
Given [2a̅ – b̅ + 3c̅, a̅ + b̅ – 2c̅, a̅ + b̅ – 3c̅] = λ [a̅ b̅ c̅]
We have – 3 [a̅ b̅ c̅] = λ [a̅ b̅ c̅]
⇒ λ = -3

Question 39.
If a̅ = (1, – 1, – 6), b̅ = (1, – 3, 4) and c̅ = (2, – 5, 3), then compute a̅ × (b̅ × c̅)
Answer:
Given a̅ = (1, – 1, – 6), b̅ = (1, – 3, 4), c̅ = (2, – 5, 3)
Now b̅ × c̅ = \(\left|\begin{array}{ccc}
\bar{i} & \bar{j} & \bar{k} \\
1 & -3 & 4 \\
2 & -5 & 3
\end{array}\right|\)
= i̅(-9 + 20) – j̅(3 – 8) + k̅(-5 + 6)
= i̅(11) – 7(-5) + k(1) = 11i̅ + 5j̅ + k̅

a̅ × (b̅ × c̅) = \(\left|\begin{array}{ccc}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
1 & -1 & -6 \\
11 & 5 & 1
\end{array}\right|\) = i̅(-1 + 30) – j̅ (1 + 66) + k̅(5 + 11)
= i̅(29) – j̅(67) + k̅(16)
= 29i̅ – 67j̅ + 16k̅

Question 40.
If |a̅| = 11, |b̅| = 23 and |a̅ – b̅| = 30, then find the angle between the vectors a̅, b̅ and also find |a̅ + b̅|.
Answer:
|a̅ – b̅| = 30 ⇒|a̅ – b̅|2 = 900
⇒ |a̅|2 + |b̅|2 – 2(a̅.b̅) = 900
⇒ 121 + 529 – 2(a̅. b̅) = 900
⇒ 650 -2(a̅ . b̅) = 900
⇒ -2(a-b) = 250
⇒ -2 |a̅| |b̅| cos θ = 250
⇒ (-2)(253)cos θ = 25O
⇒ cos θ = \(\frac{125}{253}\)
⇒ θ = π – cos-1\(\left(\frac{125}{253}\right)\)

Also |a̅ + b̅|2 = |a̅|2 + |b̅|2 + 2(a̅.b̅) = 112 + 232 + 2|a̅||b̅|cos θ
= 121 + 529 + 2(11)(23)\(\left(\frac{-125}{253}\right)\) = 400
∴ |a̅ + b̅| = 20

Question 41.
Find λ in order that the four points A(3, 2, λ), B(4, λ, 5), C(4, 2, -2) and D(6, 5, – λ) be coplanar.
Answer:
\(\overline{\mathrm{OA}}\) = 3i̅ + 2j̅ + k̅; \(\overline{\mathrm{OB}}\) = 4i̅ + λj̅ + 5k̅; \(\overline{\mathrm{OC}}\) = 4i̅ + 2j̅ – 2k̅ and \(\overline{\mathrm{OD}}\) = 6i̅ + 5j̅ – k̅
\(\overline{\mathrm{AB}}=\overline{\mathrm{OB}}-\overline{\mathrm{OA}}\) = i̅ + (A – 2) j̅ + 4k̅;
\(\overline{\mathrm{AC}}=\overline{\mathrm{OC}}-\overline{\mathrm{OA}}\) = i̅ – 3k̅;
\(\overline{\mathrm{AD}}=\overline{\mathrm{OD}}-\overline{\mathrm{OA}}\) = 3i̅ + 3j̅ – 2k̅

Given A, B, C, D are coplanar
⇒ \(\overline{\mathrm{AB}}, \overline{\mathrm{AC}}, \overline{\mathrm{AD}}\) are coplanar
⇒ \(\left[\begin{array}{lll}
\overline{\mathrm{AB}} & \overline{\mathrm{AC}} & \overline{\mathrm{AD}}
\end{array}\right]\) = 0
⇒ \(\left|\begin{array}{ccc}
1 & \lambda-2 & 4 \\
1 & 0 & -3 \\
3 & 3 & -2
\end{array}\right|\) = 0
⇒ 1 (9) – (λ – 2) (- 2 + 9) + 4(3) = 0
⇒ 21 – (λ – 2) (7) = 0
⇒ λ – 2 = 3
⇒ λ = 5

TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type

Question 42.
For any two vectors a̅ and b̅, show that (1 + |a̅|)2 (1 + |b̅|)2 = |1 – a̅. b̅|2 + |a̅ + b̅ + a̅ × b̅|2
Answer:
Let |a̅| = a̅, |b̅| = b̅, (a̅, b̅) = θ.
LHS = (1 + a2) (1 + b2)
= 1 + a2 + b2 + a2 b2 …………..(1)
a̅. b̅ = |a̅||b̅| cos 9 = ab cos θ
|a̅ × b̅| = |a̅| |b̅| sin θ = ab sin θ
RHS = (1 – a . b)2 + (a̅ + b̅ + a̅ × b̅)2
= 1 + (a̅ b̅)2 – 2a̅ b̅ + a̅2 + b̅2 + |a̅ × b̅| + 2 a̅ . b̅ + 2(b̅ . a̅ × b̅) + 2(a̅ × b̅ . a̅)
= 1 + a̅22 cos2 θ + a̅2 + b̅2 + a̅22 sin2 θ + 0 + 0
= 1 + a̅22 (cos2 θ + sin2 θ) + a̅2 + b̅2
= 1 + a̅22 (1) + a̅2 +b̅2
= 1 + a̅22 + a̅2 + b̅2
= 1 + a̅2 + b̅2 + a̅22
= RHS.

Question 43.
If a̅ = 2i̅ – 3j̅ + k̅ and b̅ = i̅ + 4j̅ – 2k̅, then find (a̅ + b̅) × (a̅ – b̅)
Answer:
Given a̅ = 2i̅ – 3j̅ + k̅
b̅ = i̅ + 4j̅ – 2k̅
Now
a̅ + b̅ = 2i̅ – 3j̅ + k̅ + i̅ + 4j̅ – 2k̅ = 3i̅ + j̅ – k̅
a̅ – b̅ = 2i̅ – 3j̅ + k̅ – i̅ – 4j̅ + 2k̅ = i̅ – 7j̅ + 3k̅
(a̅ + b̅) x (a̅ – b̅) = \(\left|\begin{array}{rrr}
\overline{\mathrm{i}} & \overline{\mathrm{j}} & \overline{\mathrm{k}} \\
3 & 1 & -1 \\
1 & -7 & 3
\end{array}\right|\)
= i̅(3 – 7) – j̅(9 + 1) + k̅(-21 – 1)
= -4i̅ – 10j̅ – 22k̅

Question 44.
Show that the volume of a tetrahedron with a̅, b̅ and c̅ as coterminous edges is \(\frac{1}{6}\)|[a̅ b̅ c̅]|
Answer:
Let OABC be a tetrahedron and
\(\overline{\mathrm{OA}}\) = a̅, \(\overline{\mathrm{OB}}\) = b̅, \(\overline{\mathrm{OC}}\) = c̅
Let V be the volume of the tetrahedron OABC. By definition the volume V is given by V = \(\frac{1}{3}\) (area of the base ΔOAB)
(Length of the perpendicular from C to the base ΔOAB)
TS Inter First Year Maths 1A Product of Vectors Important Questions Long Answer Type 16
CN is the perpendicular from C to AOAB and CM is the perpendicular from C on to the supporting line of a̅ × b̅ so that CN = OM = Length of the projection of c onto a̅ × b̅.

Question 45.
Find the equation of the plane passing through the point (3, -2,1) and perpendicular to the vector (4, 7, -4).
Answer:
The vector equation of the plane is
[r̅ – (3 i̅ – 2 j̅ + k̅)j̅ . (4 i̅ + 7 j̅ – 4k̅) = 0
⇒ r̅ . (4i̅ + 7j̅ – 4k̅) – (12 – 14 – 4) = 0
⇒ r̅ . (4 i̅ + 7 j̅ – 4k̅) +6 = 0
The Cartesian equation is 4x + 7y – 4z + 6 = 0

TS Inter 1st Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Students must practice these Maths 1A Important Questions TS Inter 1st Year Maths 1A Addition of Vectors Important Questions Short Answer Type to help strengthen their preparations for exams.

TS Inter 1st Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 1.
Let ABCDEF be a regular hexagon with centre ’O’. Show that [Mar. 16 (AP), 15 (AP), 03]
\(\overline{\mathrm{AB}}+\overline{\mathrm{AC}}+\overline{\mathrm{AD}}+\overline{\mathrm{AE}}+\overline{\mathrm{AF}}=3 \overline{\mathrm{AD}}=6 \overline{\mathrm{AO}}\)
Answer:
ABCDEF is a regular hexagon with centre ‘O’.
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 2
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 1

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 2.
In the two dimensional plane, prove by using vector methods, the equation of the line whose intercepts on the axes are ‘a’ and ‘b’ is \(\frac{x}{a}+\frac{y}{b}\) = 1. [May 05, 01]
Answer:
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 3
Let A = (a, 0) and B = (0, b)
∴ A = aī, B = bj̄
The equation of the straight line AB is r̄ = (1 – t) ā + tb̄, t ∈ R
r̄ = (1 – t)aī + tbj̄
Let r̄ = xī + yj̄
⇒ xī + yj̄ = (1 – t)aī + tbj̄
Equating the corresponding coefficients of ī, j̄ we have
(1 -1) a = x
\(\frac{x}{a}\) = 1 – t ⇒ \(\frac{x}{a}\) + t = 1 …………… (1)
tb = y ⇒ t = \(\frac{y}{b}\)
From (a) ⇒ \(\frac{x}{a}+\frac{y}{b}\) = 1
∴ The equation of the lines is \(\frac{x}{a}+\frac{y}{b}\) = 1.

Question 3.
Find the point of intersection of the line r̄ = 2ā + b̄ + t(b̄ – c̄) and the plane r̄ = ā + x(b̄ + c̄) + y(ā + 2b̄ – c̄), where ā, b̄ and c̄ are non-coplanar vectors. [May 13]
Answer:
Given r̄ = 2ā + b̄ + t(b̄ – c̄), r̄ = ā + x(b̄ + c̄) + y(ā + 2b̄ – c̄)
Let r̄ be the position vector of the point P the intersection of the line and the plane.
∴ 2ā + b̄ + t(b̄ – c̄) = ā + x(b̄ + c̄) + y(ā + 2b̄ – c̄) (∵ ā, b̄, c̄ are non-coplanar)
Equating the coefficients of ā, b̄, c̄
2 = y + 1 ⇒ y = 1 ⇒ 1 + t = x + 2y ⇒ 1 + t = x + 2 ⇒ t – x = 1 ……………… (1)
– t = x – y ⇒ x + t = y ⇒ x + t = 1 …………….. (2)
Solving (1) and (2) equations t = 1, x = 0.
∴ Point of intersection is r̄ = 2ā + b̄ + b̄ – c̄ = 2ā + 2b̄ – c̄
Hence the position vector of the point of intersection is 2ā + 2b̄ – c̄.

Question 4.
If ā, b̄, c̄ are non coplanar, find the point of intersection of the line passing through the points 2ā + 3b̄ – c̄, 3ā + 4b̄ – 2c̄ with the line joining the points ā – 2b̄ + 3c̄, ā – 6b̄ + 6c̄.
Answer:
Let P = 2ā + 3b̄ – c̄, Q = 3ā + 4b̄ – 2c̄, R = ā – 2b̄ + 3c̄, S = ā – 6b̄ + 6c̄
The equation of the straight line passing through P(2ā + 3b̄ – c̄), Q(3ā + 4b̄ – 2c̄) is
r̄ = (1 – t) (ā + tb̄), t ∈ R
r̄ = (1 – t) (2ā + 3b̄ – c̄) + t(3ā + 4b̄ – 2c̄)
= 2ā + 3b̄ – c̄ – 2tā – 3tab̄ + tc̄ + 3tā + 4tb̄ – 2tc̄
= 2ā + 3b̄ – c̄ + tā + tb̄ – tc̄
r̄ = (2 + t) ā + (3 + t)b̄ + (- 1 – t)c̄ ………………… (1)
The equation of the straight line passing through
R(ā – 2b̄ + 3c̄) and S(ā – 6b̄ + 6c̄) is r̄ = (1 – s)ā + sb̄, s ∈ R
r̄ =(1 – s) (ā – 2b̄ + 3c̄) + s(ā – 6b̄ + 6c̄)
= ā – 2b̄ + 3c̄ – sā + 2sb̄ – 3sc̄ + sā – 6sb̄ + 6sc̄ = ā – 2b̄ + 3c̄ – 4sb̄ + 3sc̄
r̄ = ā + (- 2 – 4s)b̄ + (3 + 3s)c̄ …………….. (2)
From (1) and (2), (2 + t)ā + (3 + t)b̄ + (-1 – t)c̄ = a + (- 2 – 4s)b̄ + (3 + 3s)c̄
Equating the corresponding coefficients of ā, b̄ and c̄ we have
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 4
2 + t = 1
t = – 1

3 + t = – 2 – 4s
3 – 1 = – 2 – 4s
2 = – 2 – 4s
4 = – 4s
s = – 1

– 1 – t = 3 + 3s
– 4 = 3s + t
– 4 = 3 (- 1) – 1
– 4 = – 3 – 1
– 4 = – 4

∴ The lines (1) and (2) are intersect each other.
∴ Substituting the value of t = – 1 in (1) (or) s = – 1 in (2)
The point of intersection of the lines is r̄ = (2 – 1)ā + (3 – 1)b̄ + (- 1 + 1)c̄ ⇒ r̄ = ā + 2b̄

DTP. Show that the line joining the pair of points 6a – 4b + 4c, – 4c and the line joining the
pair of points – a – 2b – 3c, a + 2b – 5c intersect at the point -4c when a, b, c are non- coplanar vectors.

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 5.
Find the vector equation of the plane which passes through the points 2ī + 4j̄ + 2k̄, 2ī + 3j̄ + 5k̄ and parallel to the vector 3ī – 2j̄ + k̄. Also find the point where this plane meets the line joining the points 2ī + j̄̄ + 3k̄ and 4ī – 2j̄+ 3k̄. [Mar. 12]
Answer:
The vector equation of the plane passing through 2ī + 4j̄ + 2k̄, 2ī + 3j̄ + 5k̄ and parallel to the vector 3ī – 2j̄ + k̄ is
r̄ = (1 – t)ā + tb̄ + sc̄; t, s ∈ R
= (1 – t) [2ī + 4j̄ + 2k̄] + t [2ī + 3j̄ + 5k̄] + s(3ī – 2j̄ + k̄)
= 2ī + 4j̄ + 2k̄ – 2tī – 4tj̄ – 2tk̄ + 2tī + 3tj̄ + 5tk̄ + 3sī – 2sj̄ + sk̄
= (2 – 2t + 2t + 3s)ī + (4 – 4t + 3t – 2s)j̄ + (2 – 2t + 5t + s)k̄
r̄ = (2 + 3s)ī + (4 – t – 2s)j̄ + (2 + 3t + s)k̄; s, t ∈ R ……………… (1)
The vector equation of a line passing through the points 2ī + j̄ + 3k̄ and 4ī – 2j̄ +3k̄ is
r̄ = (1 – x)ā + xb̄, x ∈ R
r̄ = (1 – x)(2ī + j̄ + 3k̄) + x(4ī – 2j̄ + 3k̄)
= 2ī + j̄ + 3k̄ – 2xī + xj̄ + 3xk̄ + 4xī – 2xj̄ + 3xk̄
= 2ī + j̄ + 3k̄ – 2xī – 3xj̄
r̄ = (2 + 2x)ī + (1 – 3x)j̄ + 3k̄, x ∈ R …………… (2)
The point of Intersect ion of (1) & (2) Is P. Let the position vector of P Is ÕP = y from (1) & (2)
(2 + 3s)ī + (4 – t – 2s)j̄ + (2 + 3t + s)k̄ = (2 + 2x)ī + (1 – 3x)j̄ + 3k̄
Equation the corresponding coefficients if ī, j̄ and k̄
2 + 3s = 2 + 2x
2x – 3s = 0 ………… (3)
4 – t – 2s = 1 – 3x
t + 2s – 3x = 3 …………… (4)
2 + 3t + s = 3
3t + s = 1 …………… (5)
3 × (4) – (5)
3t + 6s – 9x = 9
3t + s = 1
5s – 9x = 8
9x – 5s = – 8 ……………… (6)
Solve (3) and (6)
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 5
∴ The plane and line Intersect each other.
∴ Substituting the value of s, t in (1) (or) x in (2)
∴ The point of intersection is
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 6

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 6.
Find the vector equation of the plane passing through the points 4ī – 3j̄ – k̄ , 3ī + 7j̄ – 10k̄ and 2ī + 5j̄ – 7k̄ and show that the point ī + 2j̄ – 3k̄ lies in the plane.
Answer:
Vector equation of the plane passing through A(4ī – 3j̄ – k̄); B(3ī + 7j̄ – 10k̄) and C(2ī + 5j̄ – 7k̄) is
r̄ = (1 – s – t) (4ī – 3j̄ – k̄) + s(3ī + 7j̄ – 10k̄) + t(2ī + 5j̄ – 7k̄)
Let D(ī + 2j̄ – 3k̄) lies on the plane, then
(ī + 2j̄ – 3k̄) = (1 – s – t) (4ī – 3j̄ – k̄) + s(3ī + 7j̄ – 10k̄) + t(2ī + 5j̄ – 7k̄)
Since i, j, k are non coplanar, equating co-efficients of ī, j̄, k̄ on both sides
4(1 – s – t) + 3s + 2t = 1 ⇒ 4 – 4s – 4t + 3s + 2t = 1 ⇒ s + 2t = 3 ……………. (1)
– 3(1 – s -1) + 7s + 5t = 2 ⇒ – 3 + 3s + 3t + 7s + 5t = 2 ⇒ 10s + 8t = 5 …………… (2)
Also – (1 – s -1) – 10s – 7t = – 3 ⇒ – 1 + s + t – 10s – 7t = – 3 ⇒ 9s + 6t = 2 …………… (3)
From (1), 3s + 6t = 9
Solving (1) and (3) equations 6s = – 7 ⇒ s = – \(\frac{7}{6}\)
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 7
∴ s = \(\frac{-7}{6}\), t = \(\frac{25}{12}\) satisfy (1), (2), (3) and D lies on the plane passing through A, B, C.

Question 7.
Let ā = ī + 2j̄ + 3k̄ and b̄ = 3ī + j̄. Find the unit vector in the direction of a + b.
Answer:
Given ā = ī + 2j̄ + 3k̄, b̄ = 3ī + j̄
Now ā + b̄ = ī + 2j̄ + 3k̄ + 3ī + j̄ = 4ī + 3j̄ + 3k̄
|ā + b̄| = \(\sqrt{4^2+3^2+3^2}\) = \(\sqrt{16+9+9}\) = √34
∴ The unit vector in the direction of
ā + b̄ = \(\frac{\bar{a}+\bar{b}}{|\bar{a}+\bar{b}|}\) = \(\frac{4 \bar{i}+3 \bar{j}+3 \bar{k}}{\sqrt{34}}\) = \(\frac{1}{\sqrt{34}}\) (4ī + 3j̄ + 3k̄)

Question 8.
ā = 2ī + 5j̄ + k̄ and b̄ = 4ī + mj̄ + nk̄ are collinear vectors, then find m and n.
Answer:
Given vectors are ā = 2ī + 5j̄ + k̄, b̄ = 4ī + mj̄ + nk̄
If a1ī + b1j̄ + c1k̄ and a2ī + b2j̄ + c2k̄ vectors are collinear, then \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\)
∴ Since ā, b̄ are collinear, then \(\frac{2}{4}=\frac{5}{m}=\frac{1}{n}\)
⇒ \(\frac{1}{2}=\frac{5}{m}=\frac{1}{n}\) ⇒ \(\frac{1}{2}=\frac{5}{m}, \frac{1}{2}=\frac{1}{n}\)
∴ m = 10 and n = 2

Question 9.
Show that the points whose position vectors are ā – 2b̄ + 3c̄, 2ā + 3b̄ – 4c̄, – 7b̄ + 10c̄ are collinear.
Answer:
Let A, B, C be the given points respectively. Then
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 8

Question 10.
Find the vector equation of the plane passing through the points (0, 0, 0), (0, 5, 0) and (2, 0, 1).
Answer:
Let ā = 0̄; b̄ = 5j̄; c̄ = 2ī + k̄
The vector equation of the plane passing through the points 0̄, 5j̄ and 2ī + k̄ is
r̄ = (1 – s – t)ā + tb̄; t, s ∈ R = (1 – t – s)(0̄) + t(5j̄) + s(2ī + k̄); t, s ∈ R
r̄ = (5t)j̄ + 5(2ī + k̄); t, s ∈ R

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 11.
Show that the line joining the pair of points 6ā – 4b̄ + 4c̄, – 4c̄ and the line joining the pair of points – ā – 2b̄ – 3c̄, ā + 2b̄ – 5c̄ intersect at the point – 4c̄ when ā, b̄, c̄ are non- coplanar vectors.
Answer:
Let P = 6ā – 4b̄ + 4c̄; Q = – 4c̄; R = – ā – 2b̄ – 3c̄; S = ā + 2b̄ – 5c̄
The equation of the straight line passing through P(6ā – 4b̄ + 4c̄) and Q(- 4c̄) is
r̄ = (1 – t)ā + tb̄, t ∈ R
r̄ = (1 – t) (6ā – 4b̄ + 4c̄) + t(- 4c̄) =6ā – 4b̄ + 4c̄ – 6tā – 4tb̄ + 4tc̄ – 4tc̄
= 6ā – 4b̄ + 4c̄ – 6tā + 4tb̄ – 8tc̄
r̄ = (6 – 6t)ā + (- 4 + 4t)b̄ + (4 – 8t)c̄ ……………….. (1)
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 9
The equation of the straight line passing through R(- ā – 2b̄ – 3c̄) and s(ā + 2b̄ – 5c̄) is
r̄ = (1 – s)ā + sb̄, s ∈ R
= (1 – s)(- ā – 2b̄ – 3c̄) + s(ā + 2b̄ – 5c̄) = – ā – 2b̄ – 3c̄ + sā + 2sb̄ + 3sc̄ + sā + 2sb̄ – 5sc̄
= – ā – 2b̄ – 3c̄ + 2sā + 4sb̄ – 2sc̄
⇒ r̄ = (- 1 + 2s)ā + (- 2 + 4s)b̄ + (- 3 – 2s)c̄ …………….. (2)
From (1) & (2)
(6 – 6t)ā + (- 4 + 4t)b̄ + (4 – 8t)c̄
= (- 1 + 2s)ā + (- 2 + 4s)b̄ + (-3 – 2s)c̄
Equating the corresponding coefficients of ā, b̄ & c̄ we have
6 – 6t = – 1 + 2s ⇒ 6t + 2s = 7 ………. (3)
– 4 + 4t = – 2 + 4s ⇒ – 4t + 4s = – 2
2t – 2s = 1 ……… (4)
4 – 8t = – 3 – 2s = 8t – 2s = 7 ……………. (5)
Solve (3) & (4)
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 10
Substitute the values of s, t in equation (5)
8(1) – 2\(\left(\frac{1}{2}\right)\) = 7 ⇒ 8 – 1 = 7 ⇒ 7 = 7
∴ The equations (1) & (2) intersect each other.
Substituting the value of t = 1 in (1)
or s = \(\frac{1}{2}\) in (2)
The point of intersection of the lines is
r̄ = (6 – 6.1)ā + (- 4 + 4.1)b̄ + (4 – 8.1)c̄
r̄ = – 4c̄

Some More Maths 1A Addition of Vectors Important Questions

Question 1.
Find a vector in the direction of vector ā = ī – 2j̄ that has magnitude 7 units.
Answer:
Given ā = ī – 2j̄
|ā| = \(\sqrt{(1)^2+(-2)^2}\) = \(\sqrt{1+4}\) = √5
The unit vector in the direction of the vector a is \(\frac{\Lambda}{\mathbf{a}}\) = \(\frac{\bar{a}}{|\bar{a}|}=\frac{\bar{i}-2 \bar{j}}{\sqrt{5}}\)
∴ The vector having magnitude equal to 7 and in the direction of ā is
\(\frac{\Lambda}{\mathbf{a}}\) = \(7\left(\frac{\overline{\mathrm{i}}-2 \overline{\mathrm{j}}}{\sqrt{5}}\right)=\frac{7}{\sqrt{5}} \overline{\mathrm{i}}-\frac{14}{\sqrt{5}} \overline{\mathrm{j}}\)

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 2.
Consider the two points P and Q with position vectors \(\overline{\mathrm{OP}}\) = 3ā – 2b̄ and \(\overline{\mathrm{OQ}}\) = ā + b̄. Find the position vector of a point R which divides the line joining P and Q in the ratio 2 : 1 (i) internally and (ii) externally.
Answer:
(i) The position vector of the point R dividing the joining of P and Q internally in the ratio 2: 1 is
\(\overline{\mathrm{OR}}\) = \(\frac{2(\overline{\mathrm{a}}+\overline{\mathrm{b}})+(3 \overline{\mathrm{a}}-2 \overline{\mathrm{b}})}{2+1}=\frac{5 \overline{\mathrm{a}}}{3}\)

(ii) The position vector of the point R dividing the joining of P and Q externally in the ratio 2: 1 is
\(\overline{\mathrm{OR}}\) = \(\frac{2(\overline{\mathrm{a}}+\overline{\mathrm{b}})-(3 \overline{\mathrm{a}}-2 \overline{\mathrm{b}})}{2-1}\) = 4b̄ – ā

Question 3.
Show that the points A(2ī – j̄ + k̄), B(ī – 3j̄ – 5k̄), C(3ī – 4j̄ – 4k̄) are the vertices of a right angled triangle.
Answer:
Given position vectors
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 11
Clearly, AB = AC and AB2 = BC2 + AC2
∴ ∆ABC is right angled.

Question 4.
In ∆ABC, if ‘O’ is the circumcentre and H is the orthocentre, then show that
(i) \(\overline{\mathrm{OA}}+\overline{\mathrm{OB}}+\overline{\mathrm{OC}}=\overline{\mathrm{OH}}\)
(ii) \(\overline{\mathrm{HA}}+\overline{\mathrm{HB}}+\overline{\mathrm{HC}}=2 \overline{\mathrm{HO}}\)
Answer:
Take ‘O’ as origin the position vectors of vertices A, B and C with respect to the origin ‘O’ are
\(\overline{\mathrm{OA}}=\overline{\mathrm{a}}\), \(\overline{\mathrm{OB}}=\overline{\mathrm{b}}\) and \(\overline{\mathrm{OC}}=\overline{\mathrm{c}}\)
Let D be the midpoint of BC then the position vector of D is
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 12
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 13

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 5.
If the points whose position vectors are 3ī – 2j̄ – k̄, 2ī + 3j̄ – 4k̄, – ī + j̄ + 2k̄ and 4ī + 5j̄ + λk̄ are coplanar, then show that λ = \(\frac{-146}{17}\). [May 15 (TS)]
Answer:
Let A, B, C, D be the given points respectively.
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 14
Since A, B, C and D are coplanar, then [\(\overline{\mathrm{AB}}\) \(\overline{\mathrm{AC}}\) \(\overline{\mathrm{AD}}\)] = 0
⇒ \(\left|\begin{array}{ccc}
-1 & 5 & -3 \\
-4 & 3 & 3 \\
1 & 7 & \lambda+1
\end{array}\right|\) = 0 ⇒ – 1(3λ + 3 – 21) – 5(- 4λ – 4 – 3) – 3(- 28 – 3) = 0
⇒ – 1 (3λ – 18) – 5(- 4λ – 7) – 3(- 31) = 0
⇒ – 3λ + 18 + 20λ + 35 + 93 = 0 -146
⇒ 17λ + 146 = 0
⇒ λ = \(\frac{-146}{17}\)

Question 6.
ABCDE is a pentagon. If the sum of the vectors \(\overline{\mathbf{A B}}, \overline{\mathbf{A E}}, \overline{\mathbf{B C}}, \overline{\mathbf{D C}}, \overline{\mathbf{E D}}\) and \(\) is λ \(\overline{\mathbf{A C}}\), then find the value of λ.
Answer:
ABCDE is a pentagon. Given that
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 15

Question 7.
Is the triangle formed by the vectors 3ī + 5j̄ + 2k̄, 2ī – 3j̄ – 5k̄ and – 5ī – 2j̄ + 3k̄ equilateral ?
Answer:
Let ABC be the triangle with
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 16
∴ The given vectors formed on equilateral triangle.

Question 8.
ā, b̄, c̄ are non-coplanar vectors. Prove that the four points – ā + 4b̄ – 3c̄, 3ā + 2b̄ – 5c̄, – 3ā + 8b̄ – 5c̄, – 3ā + 2b̄ + c̄ are coplanar.
Answer:
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 17
= [4 (16 – 4) + 2 (- 8 – 4) – 2 (4 + 8)] [ā b̄ c̄]
= [4(12) + 2 (-12) – 2 (12)] [ā b̄ c̄]
= [48 – 24 – 24] [ā b̄ c̄] = 0 [ā b̄ c̄] = 0
∴ The given points are coplanar.

TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type

Question 9.
a, b, c are non-coplanar vectors. Prove that the four points 6ā + 2b̄ – c̄, 2ā – b̄ + 3c̄, – ā + 2b̄ – 4c̄, – 12ā – b̄ – 3c̄ are coplanar.
Answer:
Given that a, b, c are non-coplanar ⇒ [ā b̄ c̄] ≠ 0
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 18

Question 10.
If ī, j̄, k̄ are unit vectors along the positive directions of the coordinate axes, then show that the four points 4ī + 5j̄ + k̄, – j̄ – k̄, 3ī + 9j̄ + 4k̄ and – 4ī + 4j̄ + 4k̄ are coplanar. [Mar. 14]
Answer:
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 19
∴ The given vectors are coplanar.

Question 11.
Show that the points whose position vectors are 2ā + 5b̄ – 4c̄ , ā + 4b̄ – 3c̄, 4ā + 7b̄ – 6c̄ are collinear when a, b, c are non-coplanar vectors.
Answer:
Let A, B, C be the given points respectively.
TS Inter First Year Maths 1A Addition of Vectors Important Questions Short Answer Type 20