(i) All questions are compulsory.
(ii) Please check that this Question Paper contains 26 Questions.
(iii) Marks for each question are indicated against it.
(iv) Questions 1 to 6 in Section-A are Very Short Answer Type Questions carrying one mark each.
(v) Questions 7 to 19 in Section-B are Long Answer I Type Questions carrying 4 marks each.
(vi) Questions 20 to 26 in Section-C are Long Answer II Type Questions carrying 6 marks each.
(vii) Please write down the serial number of the Question before attempting it.
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- Q1VIEW SOLUTION
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A bag A contains 4 black and 6 red balls and bag B contains 7 black and 3 red balls. A die is thrown. If 1 or 2 appears on it, then bag A is chosen, otherwise bag B, If two balls are drawn at random (without replacement) from the selected bag, find the probability of one of them being red and another black.ORAn unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained. VIEW SOLUTION
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If sin [cot−1 (x+1)] = cos(tan−1x), then find x.
If (tan−1x)2 + (cot−1x)2 = , then find x. VIEW SOLUTION
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Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below:
School Article A B C Hand-fans 40 25 35 Mats 50 40 50 Plates 20 30 40
Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.
Write one value generated by the above situation. VIEW SOLUTION
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Integrate the following w.r.t. x
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Solve the differential equation :
ORFind the particular solution of the differential equation given that y = 1, when x = 0. VIEW SOLUTION
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Using integration find the area of the triangle formed by positive x-axis and tangent and normal of the circle
Evaluate as a limit of a sum.VIEW SOLUTION
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