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# CBSE Class 12 Sample / Model Paper 2023 : Mathematics : Sample Paper maths

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KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER TEST 01 FOR BOARD EXAM (2022-23) SUBJECT: MATHEMATICS (041) MAX. MARKS : 80 CLASS : XII DURATION: 3 HRS General Instructions: 1. This Question paper contains - five sections A, B, C, D and E. Each section is compulsory. However, there are internal choices in some questions. 2. Section A has 18 MCQ s and 02 Assertion-Reason based questions of 1 mark each. 3. Section B has 5 Very Short Answer (VSA)-type questions of 2 marks each. 4. Section C has 6 Short Answer (SA)-type questions of 3 marks each. 5. Section D has 4 Long Answer (LA)-type questions of 5 marks each. 6. Section E has 3 source based/case based/passage based/integrated units of assessment (4 marks each) with sub parts. SECTION A Questions 1 to 20 carry 1 mark each. 1. For any matrix A = [aij], if cij denotes its cofactors then find the value of a11c12 + a12c22 + a13c32. (a) 1 (b) -1 (c) 0 (d) none of these 1 2 3 1 7 11 2. If , then write the value of k. 3 4 2 5 k 23 (a) 17 (b) -17 (c) 13 (d) -13 3. The magnitude of each of the two vectors a and b , having the same magnitude such that the angle between them is 60 and their scalar product is 9/2, is (a) 2 (b) 3 (c) 4 (d) 5 1 4. If f ( x) x 2 sin , where x 0, then the value of the function f at x = 0, so that the function is x continuous at x = 0, is (a) 0 (b) -1 (c) 1 (d) None of these 2 5. The value of e 0 (a) dx is 1 sin x (b) 0 (c) 3 (d) /2 6. If m and n are the order and degree, respectively of the differential equation 3 2 2 d y dy y x 3 2 xy sin x , then write the value of m + n. dx dx (a) 1 (b) 2 (c) 3 (d) 4 7. Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5). Let F =4x + 6y be the objective function. The minimum value of F occurs at (a) Only (0, 2) (b) Only (3, 0) (c) the mid-point of the line segment joining the points (0, 2) and (3, 0) (d) any point on the line segment joining the points (0, 2) and (3, 0) Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1-

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