Formatting page ...
SCOTTISH HIGH INTERNATIONAL SCHOOL PRE BOARD 1 EXAMINATION (2020 21) MATHEMATICS, XII ISC M.M. 80 Time : 3 Hrs Instructions SECTION A (65 Marks) Q1. [15 X 1 = 15] (i) A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is (A) 16 (B) 4 (C) 6 (D) 1/ 16 (ii) Determine the point on the curve y = x2 4x + 3 at which the normal is parallel to a line whose slope is 1/2. (A) (1,0) (B) (0, 1) (C) (9/2, 21/4) (D) (9/2, 0) (iii) If P(A) = 2/5, P(B) = and P(A U B) = 9/10, then A & B are (A) Mutually exclusive (B) Independent (C) Exhaustive (D) None of these (iv) If a function f : R+ R is defined by f(x) = 3 + 2x2, the pre image(s) of 35 and 75 are (A) {-4, 4}; {-6, 6} (B) -4, -6 (C) {6, -6}; {4, -4} (D) 4, 6 (v) If f(x) = log x, then the derivative of f (2log x) is (A) logx/ x (B) x/ logx (C) x logx (D) 1/ xlogx
|