Page 1 : Cea |, , , , mt, (a) LHL=RHL (b) LHL # RHL (c) LHL = f() (d) None of these, 37. Let f:R— Rbea function such that f(x) = x? +3x? +5x + sin x, then f(x) is, (a) an increasing function (b) decreasing function, , (c) neither increasing nor decreasing function (d) None of these, 38. The function f(x) = log(cos x) on the interval (0 *) is, , (a) Increasing (b) Strictly decreasing, (c) Strictly increasing (d) None of these, , 39. The slope of the normal to the curve y= 2x” +3sinx atx = Ois, 1 -1, 3 (b) = -3 ‘d) —, (a) ( 3 (o) (d) 3, , 40. The slope of the normal to the curve x =1—asin®, y= bcos? 6 at® =Fis, , a -a b -b, (a) on (b) oT (c) Fj (d) aa, , Section [®), , In this section, attempt any 8 questions. Each question is of 1 mark weightage. Questions 46-50 are based, on Case-Study., , 41. Letp be the relation on the set R of all real numbers defined by setting apb iff |a - bi< >, Then, p is, , (a) reflexive and symmetric but not transitive, , (b) symmertic and transitive but not reflexive, , (c) transitive but neither reflexive nor symmetric, , (d) None of the above, , 42. fA? +A+I= 0 then A~! is equal to, , , , (a) A-I (b) I-A (c) -(A+]) (d) None of these, 1, 1+ex 0, 43. If the function f(x) = * 1\ *#0 5. continuous at x = 0, then the value of kis, Ie, k, x=0, (a)-1 (b) 1 (0 (d)2, , 44, The function f(x) = 2x3 —3x? — 36x +7is strictly decreasing in the interval, (a) (- -e,-2) (b) (-2,3) (c) G, ) (d) None of these, , 45. The point on the curve y=(x — 3)?, where the tangent is parallel to the chord joining, , (3, 0) and (4, 1) is, -5 1 71, @ ($4) (3-4), , , , CASE STUDY, , 4 S, 3 Free Mock Test, Chapter Notes Chapter Wise Practice Test INSTALL, , XL 2022-23 ey