Test Codes: SIA (Multiple-choice Type) and SIB (Short Answer Type ...

is(A) 0. (B) π/6. (C) π/4. (D) π/2.33. Which of the following graphs represents the functionf(x) =∫ √ x0e −u2 /x du, for x > 0 and f(0) = 0?(A)(B)(C)(D)34. If a n =(1 + 1 ) ) 2 ( ) 3 ) n (1n 2 + 22n 2 1 + 32n 2 · · ·(1 + n2n 2 , thenislimn→∞ a−1/n2 n(A) 0. (B) 1. (C) e. (D) √ e/2.35. If f(x) = e x sin x, then d10dx 10 f(x) ∣∣∣x=0equals(A) 1. (B) −1. (C) 10. (D) 32.36. Consider a circle with centre O. Two chords AB and CD extended intersectat a point P outside the circle. If ∠AOC = 43 ◦ and ∠BP D =18 ◦ , then the value of ∠BOD is(A) 36 ◦ . (B) 29 ◦ . (C) 7 ◦ . (D) 25 ◦ .37. A box contains 10 red cards numbered 1, . . . , 10 and 10 black cardsnumbered 1, . . . , 10. In how many ways can we choose 10 out of the20 cards so that there are exactly 3 matches, where a match means ared card and a black card with the same number?7