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ISC Class XII Prelims 2026 : Mathematics (Chettinad Hari Shree Vidyalayam School, Chennai)

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Gayathri Thirumurugan
Chettinad Hari Shree Vidyalayam School, Chennai
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FIRST PREBOARD EXAMINATION (2025-2026) Grade: X I I (ISC) MATHEMATICS Maximum Marks: 80 Date: 17/11/2025 Duration: 3 Hours 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. The intended marks for questions or parts of questions are given in brackets [ ]. ______________________________________________________________________________ SECTION A [65 MARKS] Question 1 In subparts (i) to (xi) choose the correct options and in subparts (xii) to (xv), answer the questions as instructed. (i) If x = acos , y = asin , then dy/dx at = /2 will be: [1] (a) -1 (b) Not defined (c) 1/a (d) 0 (iv) Which of the following statements is correct: (a) Determinant is number associated to a matrix. (b) Determinant is a square matrix. (c) Determinant is a number associated to a square matrix (d) None of the above This question paper consists of 7 printed pages. 1 [1] (vi) For what value of k inverse does not exist for the matrix [ (a) 0 (b) 3 (c) 6 (d) 2 2 1 2 ] 6 [1] (xv) [1] If A and B are independent events such that P(A) = and P(B) = 2/3. Find P(A B) Question 2 [2] Question 3 [2] Question 4 [2] Question 5 [2] Question 6 [2] Question 7 [4] Question 8 [4] 3 Question 9 [4] Question 10 [4] Question 11 [6] Question 12 [6] Question 13 [6] 4 Question 14 [6] SECTION B (15 MARKS) Question 15 [5] (ii) (v) Find a vector of magnitude of 10 units and parallel to the vector 2 +3 . [2] 5 Question 17 [4] Question 18 [4] SECTION C [15 MARKS] Question 19 [5] 6 Question 20 [2] Question 21 [4] Question 22 [4] 7

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