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ISC Class XII Board Exam 2025 : Mathematics

14 pages, 26 questions, 0 questions with responses, 0 total responses,

Preety Bansal Sharma
Bombay Scottish School, Mahim, Mumbai

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ISC EXAMINATION PAPER - 2024 MATHEMATICS Class-12th (Solved) Maximum Marks: 80 Time allowed: Three hours (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start during this time) This 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. Section A: Internal choice has been provided in two questions of two marks each, two questions of four marks each and two questions of six marks each. Section B: Internal choice has been provided in one question of two marks and one question of four marks. Section C: Internal choice has been provided in one question of two marks and one question of four marks. All working, including rough work, should be done on the same sheet as, and adjacent to the rest of the answer. The intended marks for questions or parts of questions are given in brackets []. Mathematical tables and graph papers are provided SECTION A - 65 MARKS Question 1 In subparts (i) to (x) choose the correct options and in subparts (xi) to (xv), answer the questions as instructed. (i) Let L be a set of all straight lines in a plane. The relation R on L defined as perpendicular to is: [1] (a) Symmetric and Transitive (b) Transitive (c) Symmetric (d) Equivalence (ii) The order and the degree of differential equation 2 d2y dy 1 + = 2 are: [1] dx dx 3 (b) 2 and 3 2 (c) 3 and 4 (d) 2 and 1 (iii) Let A be a non-empty set. Statement 1: Identity relation on A is Reflexive. Statement 2: Every Reflexive relation on A is an Identity relation. [1] (a) Both the statements are true. (b) Both the statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true. (iv) The graph of the function is shown below. [1] (a) 2 and Of the following options, at what values of x is the function / NOT differentiable? (a) At x = 0 and x = 2 (b) At x = 1 and x = 3 (c) At x = 1 and x = 1 (d) At x = 1.5 and x = 1.5 1 1 (v) The value of cosec sin 1 sec cos 1 is 2 2 [1] equal to: (a) 4 (b) 0 (c) 1 (d) 4 (vi) The value of 3 dx 1 + x2 [1] is: 2p 3 p 2 (b) p 6 (d) (a) (c) 1 p 12 3 2 (vii) Assertion: Let the matrices A = and B = 5 4 4 2 be such that A100B = BA100 5 3 Reason: AB = BA implies AnB = BAn for all positive integers n. [1] (a) Both Assertion and Reason are true and Reason is the correct explanation for Assertion. (b) Both Assertion and Reason are true but Reason is not the correct explanation for Assertion. (c) Assertion is true and Reason is false. (d) Assertion is false and Reason is true.

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