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CBSE Class 12 Sample / Model Paper 2024 : Mathematics

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ISC SEMESTER 2 EXAMINATION SAMPLE PAPER - 5 MATHEMATICS ---------------------------------------------------------------------------------------------------Maximum Marks: 40 Time allowed: One and a half hour Candidates are allowed an additional 10 minutes for only reading the paper. They must Not start writing during this time. ---------------------------------------------------------------------------------------------------The Question Paper consists of three sections A, B and C. Candidates are required to attempt all questions from Section A and all questions EITHER from Section B OR Section C All working, including rough work, should be done on the same sheet as, and adjacent to the rest of the answer. Mathematical tables and graph papers are provided. --------------------------------------------------------------------------------------------------------------------- Section-A Question 1. Choose the correct option for the following questions. (i) cot2 x dx equals to : (a) cot x x + c (ii) 4 0 (x + e (a) 2x (b) cot x + x + c (b) 15 e 8 2 (iii) The degree of the differential equation (a) 1 (iv) e (b) 2 e 5 log x e 4 log x e 3 log x (a) 3 x3 (d) cot x x + c ) dx = 15 + e 8 2 6 log x (c) cot x + x + c +c d3 y dx 3 + (c) e 8 15 2 d2 y 4 dy + 2 dx dx (c) 3 (d) e 8 15 2 = ex is : (d) 4 dx = (b) x3 +c 3 (c) x 3 +c 3 (d) None of these (v) A card is drawn from a well-shuffled deck of 52 cards and then a second card is drawn. Find the probability that first card is a heart and second card is a diamond if the first card is not replaced. (a) 25/204 (b) 1/4 (c) 12/204 (d) 13/204 (vi) A speaks truth in 75% cases and B in 80% of the cases. Probability that they contradict each other in a statement is : (a) 7/20 (b) 13/20 (c) 3/5 (d) 2/5

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