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ISC Class XII Board Exam 2024 : Mathematics

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SESHADRIPURAM PUBLIC SCHOOL PRE-BOARD EXAMINATION 2023-24 Subject: Mathematics Grade:XII Marks: 80 Date: 13.12.2023 Time:3Hrs Note: 1) Reading time: 15mins 2)Students must submit the answer scripts within the given time. 3) Marks will be deducted for untidy work. 4) Question paper consist of three sections A, B and C. 5) Students are required to attempt all the question from section A and all the questions either from section B or Section C. Section A (65 Mark2s) 1. In sub-parts (i) to (x) choose the correct options and in sub parts xi to xv answer the questions as instructed. i) Let : be defined by ( ) = + 1 then pre images of 17 and -3 respectively, are (a) , {4, 4} (b) {3,-3}, (c) {4}, (d) {4, 4}, {2, 2} ii) The value of tan (sec 2) + cot (cosec 3) is (a) 5 (b) 13 (c) 11 (d) 15 iii) If P(A)= , P(B)=0, then is (a) 0 (b) (c) not defined (d)1 iv) Function ( ) = | + 2| 1 has (a) -1 as minimum value (b) 2 as maximum value (c) -2 as maximum value (d) 1 as minimum value v) The relation R in the set of natural numbers N defined as = {( , ): = + 5 < 4} is (a) reflexive (b) symmetric (c) transitive (d) none of these vi) An integrating factor of the differential equation (1 + ) + = is (a) (b) 1 + (c) (1 + ) 7 8 vii) P and Q are two matrices such that [ + ] = . If = 3 0 which one of the following is Q 8 9 8 2 8 2 (a) (b) (c) 0 2 11 2 11 2 (d) 5 1 1 , 3 2 (d) 8 11 2 2 viii) For what value of n is the given a homogeneous differential equation? = (a) 1 b) 3 c) 0 d) 2 ix) Statement 1: The function : given by ( ) = 5 is one to one and onto. Statement 2: The function : given by ( ) = 5 is one to one and onto. Which one of the following options is correct? (a) Both 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 statement2 is true sec tan x) Assertion(A) : The value =1 tan sec Reason(R): = + (a) Both A and R are true and R is the correct explanation of A

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