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NCERT English Question Paper (Class - 10) Posted: 20 Feb 2020 04:22 AM PST NCERT English Question Paper (Class - 10)Chapter 1 A Letter to GodQuestion 1: What did Lencho hope for? Question 2: Why did Lencho say the raindrops were like ‘new coins’? Question 3: How did the rain change? What happened to Lencho’s fields? Question 4: What were Lencho’s feelings when the hail stopped? Question 5: Who or what did Lencho have faith in? What did he do? Question 6: Who read the letter? Question 7: What did the postmaster do then? Question 8: Who does Lencho have complete faith in? Which sentences in the story tell you this? Question 9: Why does the postmaster send money to Lencho? Why does he sign the letter ‘God’? Question 10: Did Lencho try to find out who had sent the money to him? Why/Why not? Question 11: Who does Lencho think has taken the rest of the money? What is the irony in the situation? [Remember that the irony of a situation is an unexpected aspect of it. An ironic situation is strange or amusing because it is the opposite of what is expected.] Question 12: Are there people like Lencho in the real world? What kind of a person would you say he is? You may select appropriate words from the box to answer the question. Question 13: There are two kinds of conflict in the story: between humans and nature, and between humans themselves. How are these conflicts illustrated? Question 14: Was Lencho surprised to find a letter for him with money in it? Question 15: What made him angry? Question 16: There are different names in different parts of the world for storms,depending on their nature. Can you match the names in the box with theirdescriptions below, and fill in the blanks? You may use a dictionary to help Question 17: Match the sentences in Column A with the meanings of ‘hope’ in Column B. Question 18: Relative Clauses Join the sentences given below using who, whom, whose, which as suggested. Question 19: Find sentences in the story with negative words, which express the following ideas emphatically. Question 20: In pairs, find metaphors from the story to complete the table below. Try to say what qualities are being compared. One has been done for you. Chapter 2 Long Walk to FreedomOral Comprehension CheckQuestion 1: Where did the ceremonies take place? Can you name any public buildings in India that are made of sandstone? Question 2: Can you say how 10 May is an ‘autumn day’ in South Africa? Question 3: At the beginning of his speech, Madela mentions “an extraordinary human disaster”. What does he mean by this? What is the “glorious … human achievement” he speaks of at the end? Question 4: What does Mandela thank the international leaders for? Question 5: What ideals does he set out for the future of South Africa? Question 6: What do the military generals do? How has their attitude changed, and why? Question 7: Why were two national anthems sung? Question 8: How does Mandela describe the systems of government in his country (i) in the first decade, and (ii) in the final decade, of the twentieth century? Question 9: What does courage mean to Mandela? Question 10: Which does he think is natural, to love or to hate? Thinking About the TextQuestion 1: Why did such a large number of international leaders attend the inauguration? Whatdid it signify the triumph of? Question 2: What does Mandela mean when he says he is “simply the sum of all those Africanpatriots” who had gone before him? Question 3: Would you agree that the “depths of oppression” create “heights of character? How does Mandela illustrate this? Can you add your own examples to this argument? Question 4: How did Mandela’s understanding of freedom change with age and experience? Question 5: How did Mandela’s ‘hunger for freedom’ change his life? Thinking About LanguageQuestion 1: There are nouns in the text (formation, government) which are formed from the corresponding verbs (form, govern) by suffixing − (at)ion or ment. There may be change in the spelling of some verb − noun pairs: such as rebel, rebellion; constitute, constitution. Question 2: Here are some more examples of ‘the’ used with proper names. Try to say what these sentences mean. (You may consult a dictionary if you wish. Look at the entry for ‘the’) Question 3: Match, the italicised phrases in Column A with the phrase nearest meaning in Column B. (Hint: First look for the sentence in the text which the phrase in column A occurs.) Question 4: What “twin obligations” does Mandela mention? Question 5: What did being free mean to Mandela as a boy, and as a student? How does he contrast these “transitory freedoms” with “the basic and honourable freedoms”? Question 6: Does Mandela think the oppressor is free? Why/Why not? Chapter 3 Two Stories About FlyingQuestion 1: Why was the young seagull afraid to fly? Do you think all young birds are afraid to make their first flight, or are some birds more timid than others? Do you think a human baby also finds it a challenge to take its first steps? Question 3: “They were beckoning to him, calling shrilly. “Why did the seagull’s father and mother threaten him and cajole him to fly? Question 4: Have you ever had a similar experience, where your parents encouraged you to do something that you were too scared to try? Discuss this in pairs or groups. Question 5: In the case of a bird flying, it seems a natural act, and a foregone conclusion that it should succeed. In the examples you have given in answer to the previous question, was your success guaranteed, or was it important for you to try, regardless of a possibility of failure? Question 6: “I’ll take the risk.” What is the risk? Why does the narrator take it? Question 7: Describe the narrator’s experience as he flew the aeroplane into the storm. Question 8: Why does the narrator say, “I landed and was not sorry to walk away from the old Dakota…”? Question 9: What made the woman in the control centre look at the narrator strangely? Question 10: Who do you think helped the narrator to reach safely? Discuss this among yourselves and give reasons for your answer. Question 11: Try to guess the meanings of the word ‘black’ in the sentences given below. Check the meanings in the dictionary and find out whether you have guessed right. 1. Go and have a bath; your hands and face are absolutely black __________. Question 13: We know that the word ‘fly’ (of birds/insects) means to move through air using wings. Tick the words which have the same or nearly the same meaning. Chapter 4 From the Diary of Anne FrankQuestion 1: Do you keep a diary? Given below under ‘A’ are some terms we use to describe a written record of personal experience. Can you match them with their descriptions under ‘B’? (You may look up the terms in a dictionary if you wish.) Question 2: Here are some entries from personal records. Use the definitions above to decide which of the entries might be from a diary, a journal, a log or a memoir. (i) I woke up very late today and promptly got a scolding from Mum! I can’t help it − how can I miss the FIFA World Cup matches? Question 4: What tells you that Anne loved her grandmother? Question 5: Was Anne right when she said that the world would not be interested in the musings of a thirteen-year-old girl? Question 6: There are some examples of diary or journal entries in the ‘Before You Read’ section. Compare these with what Anne writes in her diary. What language was the diary originally written in? In what way is Anne’s dairy different? Question 7: Why does Anne need to give a brief sketch about her family? Does she treat ‘Kitty’ as an insider or an outsider? Question 8: How does Anne feel about her father, her grandmother, Mrs Kuperus and Mr Keesing? What do these tell you about her? Question 9: What does Anne write in her first essay? Question 10: Anne says teachers are most unpredictable. Is Mr Keesing unpredictable? How? Question 11: What do these statements tell you about Anne Frank as a person? (i) We don’t seem to be able to get any closer, and that’s the problem. Maybe it’s my fault that we don’t confide in each other. Question 12: Why was Mr Keesing annoyed with Anne? What did he ask her to do? Question 13: How did Anne justify her being a chatterbox in her essay? Question 14: Do you think Mr Keesing was a strict teacher? Question 15: What made Mr Keesing allow Anne to talk in class? Question 16: Match the compound words under ‘A’ with their meanings under ‘B’. Use each in sentence. Question 17: Phrasal Verbs Find the sentences in the lesson that have the phrasal verbs given below. Match them with their meanings. Question 18: Idioms Question 19: You have read the expression ‘not to lose heart’ in this text. Now find out the meanings of the following expressions using the word ‘heart’. Use each of them in a sentence of your own. Question 20: Contracted Forms 1. Make a list of the contracted forms in the text. Rewrite them as full forms of two words. Click Here To Download Full PaperChapter Chapter 5 The Hundred DressesQuestion 1: Where in the classroom does Wanda sit and why? Question 2: Where does Wanda live? What kind of a place do you think it is? Question 4: What do you think “to have fun with her” means? Question 5: In what way was Wanda different from the other children? Question 6: Did Wanda have a hundred dresses? Why do you think she said she did? Question 7: Why is Maddie embarrassed by the questions Peggy asks Wanda? Is she also like Wanda, or is she different? Question 8: How is Wanda seen as different by the other girls? How do they treat her? Question 9: How does Wanda feel about the dresses game? Why does she say that she has a hundred dresses? Question 10: Why does Maddie stand by and not do anything? How is she different from Peggy? (Was Peggy’s friendship important to Maddie? Why? Which lines in the text tell you this?) Question 11: What does Miss Mason think of Wanda’s drawings? What do the children think of them? How do you know? Question 12: Why didn’t Maddie ask Peggie to stop teasing Wanda? What was she afraid of? Question 13: Who did Maddie think would win the drawing contest? Why? Question 14: Who won the drawing contest? What had the winner drawn? Question 15: Combine the following to make sentences like those above. 1. This is the bus (what kind of bus?) It goes to Agra. (use which or that) Question 16: 1. Can you say whose point of view the italicised words express? (i) But on Wednesday, Peggy and Maddie, who sat down front with other children who got good marks and who didn’t track in a whole lot of mud, did notice that Wanda wasn’t there. Chapter 6 The Hundred Dresses(2)Question 1: What did Mr Petronski’s letter say? Question 5: What excuses does Peggy think up for her behaviour? Why? Question 7: Why does Wanda’s house remind Maddie of Wanda’s blue dress? Question 8: What does Maddie think hard about? What important decision does she come to? Question 9: Why do you think Wanda’s family moved to a different city? Do you think life there was going to be different for their family? Question 10: Maddie thought her silence was as bad as Peggy’s teasing. Was she right? Question 12: What did the girls write to Wanda? Question 14: How did the girls know that Wanda liked them even though they had teased her? Question 15: What important decision did Maddie make? Why did she have to think hard to do so? Question 16: Why do you think Wanda gave Maddie and Peggy the drawings of the dresses? Why are they surprised? Question 17: Do you think Wanda really thought the girls were teasing her? Why or why not? Question 19: What adjectives can we use to describe Peggy, Wanda and Maddie? You can choose adjectives from the list above. You can also add some of your own. Question 20: 1.Find the sentences in the story with the following phrasal verbs. Question 21: Colours are used to describe feelings, moods and emotions. Match the following ‘colour expressions’ with a suggested paraphrase. Chapter 7 Glimpses of IndiaQuestion 1: What are the elders in Goa nostalgic about? Question 2: Is bread-making still popular in Goa? How do you know? Question 4: When would the baker come everyday? Why did the children run to meet him? Question 5: Match the following. What is a must Question 6: What did the bakers wear: Question 7: Who invites the comment − “he is dressed like a pader”? Why? Question 8: Where were the monthly accounts of the baker recorded? Question 9: What does a ‘jackfruit-like appearance’ mean? Question 10: Which of these statements are correct? Question 11: Is bread an important part of Goan life? How do you know this? Question 12: Tick the right answer. What is the tone of the author when he says the following? (i) The thud and the jingle of the traditional baker’s bamboo can still be heard in some places. (nostalgic, hopeful, sad) Question 13: Where is Coorg? Question 14: What is the story about the Kodavu people’s descent? Question 15: What are some of the things you now know about Question 16: Here are six sentences with some words in italics. Find phrases from the text that have the same meaning. (Look in the paragraphs indicated) (i) During monsoons it rains so heavily that tourists do not visit Coorg. (para 2) Question 18: Complete the following phrases from the text. For each phrase, can you find at least one other word that would fit into the blank? Question 19: 1. Look at these words: upkeep, downpour, undergo, dropout, walk-in. They are built up from a verb (keep, pour, go, drop, walk) and an adverb or a particle (up, down, under, out, in). Use these words appropriately in the sentences below. You may consult a dictionary. 1. Think of suitable −ing or −ed adjectives to answer the following questions. How would you describe Chapter 8 Mijbil the OtterQuestion 1: What ‘experiment’ did Maxwell think Camusfearna would be suitable for? Question 5: Tick the right answer. In the beginning, the otter was aloof and indifferent, friendly and hostile Question 6: What happened when Maxwell took Mijbil to the bathroom? What did it do two days after that? Question 8: What did Mij do to the box? Question 9: Why did Maxwell put the otter back in the box? How do you think he felt when he did this? Question 10: Why does Maxwell say the airhostess was “the very queen of her kind”? Question 11: What happened when the box was opened? Question 12: What things does Mij do which tell you that he is an intelligent, friendly and funloving animal who needs love? Question 14: Why is Mij’s species now known to the world as Maxwell’s otter? Question 15: Maxwell in the story speaks for the otter, Mij. He tells us what the otter feels and thinks on different occasions. Given below are some things the otter does. Complete the column on the right to say what Maxwell says about what Mij feels and thinks. Question 16: What game had Mij invented? Question 18: What are ‘compulsive habits’? What does Maxwell say are the compulsive habits of (i) school children (ii) Mij? Question 19: What group of animals do otters belong to? Question 20: What guesses did the Londoners make about what Mij was? Question 21: Read the story and find the sentences where Maxwell describes his pet otter. Thenchoose and arrange your sentences to illustrate those statements below that youthink are true. Question 22: From the table below, make as many correct sentences as you can using would and/or used to, as appropriate. (Hint: First decide whether the words in italics show an action, or a state or situation, in the past.) Then add two or three sentences of your own to it. Question 23: II. Noun Modifiers Question 24: 1. Match the words on the left with a word on the right. Some words on the left can go with more than one word on the right. Chapter 9 Madam Rides the BusQuestion 1: What was Valli’s favourite pastime? Question 4: What do you think Valli was planning to do? Question 5: How do you usually understand the idea of ‘selfishness’? Do you agree with Kisa Gotami that she was being ‘selfish in her grief’? Question 8: What does Valli tell the elderly man when he calls her a child? Question 9: Why didn’t Valli want to make friends with the elderly woman? Question 12: Why didn’t she get off the bus at the bus station? Question 13: Why didn’t Valli want to go to the stall and have a drink? What does this tell youabout her? Question 16: What kind of a person is Valli? To answer this question, pick out the following sentences from the text and fill in the blanks. The words you fill in are the clues to your answer.] (i) “Stop the bus! Stop the bus!” And a tiny hand was raised ________________. Question 17: Why does the conductor refer to Valli as ‘madam’? Question 18: Find the lines in the text which tell you that Valli was enjoying her ride on the bus. Question 19: Why does Valli refuse to look out of the window on her way back? Chapter 10 The Sermon at BenaresQuestion 1: When her son dies, Kisa Gotami goes from house to house. What does she ask for? Does she get it? Why not? Question 3: What does Kisa Gotami understand the second time that she failed to understand the first time? Was this what the Buddha wanted her to understand Question 4: Why do you think Kisa Gotami understood this only the second time? In what way did the Buddha change her understanding? Question 5: This text is written in an old-fashioned style, for it reports an incident more than two millennia old. Look for the following words and phrases in the text, and try to rephrase them in more current language, based on how you understand them. Question 6 You know that we can combine sentences using words like and, or, but, yet and then. But sometimes no such word seems appropriate. In such a case was can use a semicolon (;) or a dash (−) to combine two clauses. She has no interest in music; I doubt she will become a singer like her mother. The second clause here gives the speaker’s opinion on the first clause. Here is a sentence from the text that uses semicolons to combine clauses. Break up the sentence into three simple sentences. Can you then say which has a better rhythm when you read it, the single sentence using semicolons, or the three simple sentences? For there is not any means by which those who have been born can avoid dying; after reaching old age there is death; of such a nature are living beings. Chapter 11 The ProposaQuestion 1: 1. This play has been translated into English from the Russian original. Are there any expressions or ways of speaking that strike you as more Russian than English? For example, would an adult man be addressed by an older man as my darling or my treasure in an English play? Read through the play carefully, and find expressions that you think are not used in contemporary English, and contrast these with idiomatic modern English expressions that also occur in the play. 3. Look up the following phrases in a dictionary to find out their meaning, and then use each in a sentence of your own. Question 4: (i) Find all the words and expressions in the play that the characters use to speak about each other, and the accusations and insults they hurl at each other. (For example, Lomov in the end calls Chubukov an intriguer; but earlier, Chubukov has himself called Lomov a “malicious, double faced intriguer.” Again, Lomov begins bydescribing Nayalya as “ an excellent housekeeper, not bad-looking, well-educated.”) Question 5: You mush have noticed that when we report someone’s exact words, we have to make some changes in the sentence structure. In the following sentences fill in the blanks to list the changes that have occurred in the above pairs of sentences. One has been done for you. 1. To report a question, we use the reporting verb asked (as in Sentence Set 1). Question 6: Here is an excerpt from an article from the Times of India dated 27 August 2006. Rewrite it, changing the sentences in direct speech into reported speech. Leave the other sentences unchanged. “Why do you want to know my age? If people know I am so old, I won’t get work!” laughs 90-year-old A. K. Hangal, one of Hindi cinema’s most famous character actors. For his age, he is rather energetic. “What’s the secret?” we ask. “My intake of everything is in small quantities. And I walk a lot,” he replies. “I joined the industry when people retire. I was in my 40s. So I don’t miss being called a star. I am still respected and given work, when actors of my age are living in poverty and without work. I don’t have any complaints,” he says, adding, “but yes, I have always been underpaid.” Recipient of the Padma Bhushan, Hangal never hankered after money or materialistic gains. “No doubt I am content today, but money is important. I was a fool not to understand the value of money earlier,” he regrets. Click Here To Download Full Paper |
NCERT Mathematics Question Paper (Class - 9) Posted: 20 Feb 2020 04:22 AM PST NCERT Mathematics Question Paper (Class - 9)(Mathematics) Chapter 3 Coordinate GeometryEXERCISE 3.1Question 1. How will you describe the position of a table lamp on your study table to another person? (i) The perpendicular distance of the point P from the y - axis measured along the positive direction of the x - axis is PN = OM = 4 units. (i) The x - coordinate of a point is its perpendicular distance from the y - axis measured along the x -axis (positive along the positive direction of the x - axis and negative along the negative direction of the x - axis). For the point P, it is + 4 and for Q, it is – 6. The x - coordinate is also called the abscissa. EXERCISE 3.2Question 1.Write the answer of each of the following questions: (i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? (i) The coordinates of B. (Mathematics) Chapter 4 Linear Equations in Two VariablesEXERCISE 4.1Question 1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be Rs x and that of a pen to be Rs y). (i) 2x + 3y = 9.35 EXERCISE 4.2Question 1.Which one of the following options is true, and why? y = 3x + 5 has (i) a unique solution (i) 2x + y = 7 (i) (0, 2) EXERCISE 4.3Question 1. Draw the graph of eachof the following linear equations in two variables: (i) x + y = 4 (i) y = x (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis. EXERCISE 4.4Question 1. Give the geometric representations of y = 3 as an equation (i) in one variable (i) in one variable (Mathematics) Chapter 7 TrianglesEXERCISE 7.1Question 1. In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see Fig. 7.16). Show that Δ ABC Δ ABD. What can you say about BC and BD? Question 2 . ABCD is a quadrilateral in which AD = BC and ∠ DAB = ∠ CBA (see Fig. 7.17). Prove that (i) Δ ABD Δ BAC Question 3. AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB. Question 5. line l is the bisector of an angle ∠ A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠ A (see Fig. 7.20). Show that: (i) Δ APB Δ AQB Question 7 . AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠ BAD = ∠ ABE and ∠ EPA = ∠ DPB (see Fig. 7.22). Show that (i) Δ DAP Δ EBP Question 8. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see Fig. 7.23). Show that: (i) Δ AMC Δ BMD EXERCISE 7.2Question 1. In an isosceles triangle ABC, with AB = AC, the bisectors of ∠ B and ∠ C intersect each other at O. Join A to O. Show that : (i) OB = OC Question 2. In Δ ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that Δ ABC is an isosceles triangle in which AB = AC. Question 3. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal. Question 4. ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) Δ ABE Δ ACF EXERCISE 7.3Question 1. Δ ABC and Δ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that (i) Δ ABD Δ ACD Question 2. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (i) Δ ABM Δ PQN Question 5. ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠ B = ∠ C. EXERCISE 7.4Question 1. Show that in a right angled triangle, the hypotenuse is the longest side. Question 2. In Fig. 7.48, sides AB and AC of Δ ABC are extended to points P and Q respectively. Also, ∠ PBC < ∠ QCB. Show that AC > AB. 3. In Fig. 7.49, ∠ B < ∠ A and ∠ C < ∠ D. Show that AD < BC. Question 3. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that ∠ A > ∠ C and ∠ B > ∠ D. Question 4. In Fig 7.51, PR > PQ and PS bisects ∠ QPR. Prove that ∠ PSR > ∠ PSQ. Question 5. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest. EXERCISE 7.5Question 1 . ABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from all the vertices of Δ ABC. Question 2. In a triangle locate a point in its interior which is equidistant from all the sides of the triangle. Question 3. In a huge park, people are concentrated at three points (see Fig. 7.52): A : where there are different slides and swings for children, Question 4. Complete the hexagonal and star shaped Rangolies [see Fig. 7.53(i) and (ii)] by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles? (Mathematics) Chapter 8 QuadrilateralsEXERCISE 8.1Question 1. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Question 6. Diagonal AC of a parallelogram ABCD bisects ∠ A (see Fig. 8.19). Show that (i) it bisects ∠ C also Question 7. ABCD is a rhombus. Show that diagonal AC bisects ∠ A as well as ∠ C and diagonal BD bisects ∠ B as well as ∠ D. Question 8. ABCD is a rectangle in which diagonal AC bisects ∠ A as well as ∠ C. Show that: (i) ABCD is a square Question 9. In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig. 8.20). Show that: (i) Δ APD Δ CQB Question 10. ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (see Fig. 8.21). Show that : (i) Δ APB Δ CQD Question 11. In Δ ABC and Δ DEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that : (i) quadrilateral ABED is a parallelogram Question 12. ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that: (i) ∠ A = ∠ B EXERCISE 8.2Question 1. ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that : (i) SR || AC and SR = 1 2 AC (i) D is the mid-point of AC (Mathematics) Chapter 9 Areas of Parallelograms and TrianglesEXERCISE 9.1Question1. Which of the following figures lie on the same base and between the same parallels. In such a case, write the common base and the two parallels. EXERCISE 9.2Question 1. In Fig. 9.15, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD. (i) ar (APB) + ar (PCD) = 1 ar (ABCD) 2 (i) ar (PQRS) = ar (ABRS) EXERCISE 9.3Question 1. In Fig.9.23, E is any point on median AD of a Δ ABC. Show that ar (ABE) = ar (ACE). (i) BDEF is a parallelogram. (i) ar (DOC) = ar (AOB) (i) ar (ACB) = ar (ACF) Click Here To Download Full PaperEXERCISE 9.4Question 1. Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle. (i) ar (BDE) = 1 4 ar (ABC) (i) ar (PRQ) = 1 2 ar (ARC) Question 8. In Fig. 9.34, ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segment AX ⊥ DE meets BC at Y. Show that: (i) Δ MBC Δ ABD (Mathematics) Chapter 10 CirclesEXERCISE 10.1Question 1. Fill in the blanks: (i) The centre of a circle lies in of the circle. (exterior/ interior) (i) Line segment joining the centre to any point on the circle is a radius of the circle. EXERCISE 10.2Question 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. EXERCISE 10.3Question 1. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? EXERCISE 10.4Question 1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord. EXERCISE 10.5Question 1. In Fig. 10.36, A,B and C are three points on a circle with centre O such that ∠ BOC = 30° and ∠ AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC Question 2. A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc. Question 3. In Fig. 10.37, ∠ PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠ OPR. Question 4. In Fig. 10.38, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC. Question 5. In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC. Question 6. ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠ BAC is 30°, find ∠ BCD. Further, if AB = BC, find ∠ ECD. Question 7. If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. Question 8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic. Question 9. Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ ACP = ∠ QCD. Question 10. If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side. Question 11. ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠ CAD = ∠ CBD. Question 12. Prove that a cyclic parallelogram is a rectangle. EXERCISE 10.6Question 1. Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection. Question 2. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle. Question 3. The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at distance 4 cm from the centre, what is the distance of the other chord from the centre? Question 4. Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that ∠ABC is equal to half the difference of the angles subtended by the chords AC and DE at the centre. Question 5. Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals. Question 6. ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD. Question 7. AC and BD are chords of a circle which bisect each other. Prove that : (i) AC and BD are diameters (Mathematics) Chapter 11 ConstructionsEXERCISE 11.1Question 1. Construct an angle of 900 at the initial point of a given ray and justify the construction. EXERCISE 11.2Question 1. Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB + AC = 13 cm. Question 2. Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB – AC = 3.5 cm. Question 3. Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm. Question 4. Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm. Question 5. Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm. (Mathematics) Chapter 12 Heron’s FormulaEXERCISE 12.1Question 1. A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board? EXERCISE 12.2Question 1. A park, in the shape of a quadrilateral ABCD, has ∠ C = 90º, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy? Question 2. Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm. (Mathematics) Chapter 13 Surface Areas and VolumesEXERCISE 13.1Question 1. A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (i) The area of the sheet required for making the box. (i) Which box has the greater lateral surface area and by how much? (i) What is the area of the glass? EXERCISE 13.2Assume π = 22/7 , unless stated otherwise. (i) inner curved surface area, (i) its inner curved surface area, (i) the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high. EXERCISE 13.3Assume π = 22/7 , unless stated otherwise. (i) radius of the base and (i) slant height of the tent. EXERCISE 13.4Assume π = 22/7 , unless stated otherwise. (i) 10.5 cm (i) 14 cm (i) surface area of the sphere, EXERCISE 13.5Question 1. A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes? Question 8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas. 9. A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute? EXERCISE 13.6Assume π = 22/7 , unless stated otherwise. (i) inner curved surface area of the vessel, EXERCISE 13.7Assume π = 22/7 , unless stated otherwise. (i) height of the cone EXERCISE 13.8Assume π = 22/7 , unless stated otherwise. EXERCISE 13.9Question 1. A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see Fig. 13.31). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2, find the total expenses required for polishing and painting the surface of the bookshelf. (Mathematics) Chapter 14 StatisticsEXERCISE 14.1Question 1. Give five examples of data that you can collect from your day-to-day life. 2. Classify the data in Q.1 above as primary or secondary data. EXERCISE 14.2Question 1. The blood groups of 30 students of Class VIII are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, 5 3 10 20 25 11 13 7 12 31 Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 05 (5 not included). What main features do you observe from this tabular representation? 98.1 98.6 99.2 90.3 86.5 95.3 92.9 96.3 94.2 95.1 89.2 92.3 97.1 93.5 92.7 95.1 97.2 93.3 95.2 97.3 96.2 92.1 84.9 90.2 95.7 98.3 97.3 96.1 92.1 89 (i) Construct a grouped frequency distribution table with classes 84 - 86, 86 - 88, etc. 161 150 154 165 168 161 154 162 150 151 (i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc. 0.03 0.08 0.08 0.09 0.04 0.17 (i) Make a grouped frequency distribution table for this data with class intervals as 0.00 - 0.04, 0.04 - 0.08, and so on. 0 1 2 2 1 2 3 1 3 0 Prepare a frequency distribution table for the data given above. 3.14159265358979323846264338327950288419716939937510 (i) Make a frequency distribution of the digits from 0 to 9 after the decimal point. 1 6 2 3 5 12 5 8 4 8 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 - 10. 2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5 Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5. EXERCISE 14.3Question 1. A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 - 44 (in years) worldwide, found the following figures (in %): (i) Represent the information given above graphically. (i) Represent the information above by a bar graph. (i) Draw a bar graph to represent the polling results. (i) Draw a histogram to represent the given data. (i) Represent the given information with the help of a histogram. (i) Draw a histogram to depict the given information. EXERCISE 14.4Question 1. The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores. 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 Find the mean, median and mode of this data. 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 (Mathematics) Chapter 15 ProbabilityEXERCISE 15.1Question 1. In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary. (i) earning Rs 10000 – 13000 per month and owning exactly 2 vehicles. (i) Find the probability that a student obtained less than 20% in the mathematics test. (i) less than 7 km from her place of work? Click Here To Download Full Paper
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CBSE TOPPER MODEL ANSWERS 2019 (CLASS-12) : Mathematics Posted: 19 Feb 2020 11:22 PM PST CBSE TOPPER MODEL ANSWERS 2019 (CLASS-12)MathematicsExam Name : CBSE Borad Exam Class - 12 Topper Model Answers 2019Subject : Mathematics (Model Answer)Year : 2019
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CBSE TOPPER MODEL ANSWERS 2019 (CLASS-10) : Mathematics Posted: 19 Feb 2020 10:45 PM PST CBSE TOPPER MODEL ANSWERS 2019 (CLASS-10)
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