EQUATION-3B-02-Assignment

1. If , then (a) (b) (c) (d) None of these 2. General solution of is (a) (b) (c) (d) 3. If then = (a) (b) (c) (d) None of these 4. If then (a) (b) (c) (d) 5. If then general value of is (a) (b) (c) (d) 6. If then the general value of is (a) (b) (c) (d) None of these 7. The value of is zero if (a) x = 0 (b) y = 0 (c) x = y (d) 8. If then the general value of is (a) (b) (c) (d) 9. The general value of satisfying is (a) (b) (c) (d) 10. If , then the general value of is (a) (b) (c) (d) None of these 11. If , then = (a) (b) (c) (d) 12. The general solution of is (a) (b) (c) (d) 13. The solution of the equation is (a) (b) (c) (d) None of these 14. If , then x equal to (a) (b) (c) (d) None of these 15. If then x = (a) (b) (c) (d) 16. Expression is minimum when and its minimum value is .................... (a) ; 2 (b) (c) (d) None of these 17. The general solution of the equation is (a) (b) (c) (d) None of these 18. If then the general value of (a) (b) (c) (d) All of these 19. If the expression is real, then x is equal to (a) (b) (b) (d) 20. If are in G.P., then x is equal to (a) (b) (c) (d) None of these 21. If and then the general value of is (a) (b) (c) (d) None of these 22. If , then the set of possible values of is (a) (b) (c) (d) None of these 23. If then possible values of x are (a) or (b) or (c) (d) None of these 24. The general solution of is (a) (b) (c) (d) 25. Let [x] = the greatest integer less than or equal to x and let . Then the most general solution of are (a) (b) (c) (d) None of these 26. The most general values of x for which are given by (a) (b) (c) (d) None of these 27. The number of values of in satisfying the equation are (a) 0 (b) 1 (c) 2 (d) 3 28. The equation has….solution (a) Finite (b) Infinite (c) One (d) No 29. The solution of the equation lies in the interval (a) (b) (c) (d) 30. The solution set of the system of equations where x and y are real in (a) A finite non-empty set (b) Null set (c) Infinite (d) None of these 31. The equation has (a) No solution (b) One real solution (c) More than one real solution (d) None of these 32. The smallest positive root of the equation lies on (a) (b) (c) (d) 33. If a is any real number, then the number of roots of in the first quadrant are (a) 2 (b) 0 (c) 1 (d) None of these 34. The number of solutions of the equation (a) Form an empty set (b) 1 (c) 2 (d) >2 35. The number of all possible triplets such that for all x is (a) Zero (b) 1 (c) 2 (d) Infinite 36. The equation , where x is a variable, has real roots. Then the interval of p may be any one of the followings (a) (b) (c) (d) 37. Let n be an odd integer if for every value of , then (a) (b) (c) (d) 38. The most general value of which will satisfy both the equations and is (a) (b) (c) (d) None of these 39. The most general value of satisfying the equations and is (a) (b) (c) (d) 40. If then the value of A in terms of B is (a) (b) (c) (d) 41. If and then the general value of is (a) (b) (c) (d) 42. If then (a) (b) (c) (d) None of these 43. If and then the most general value of satisfying both the equations is (a) (b) (c) (d) None of these 44. If and then the general value of which satisfies both the equations is (a) (b) (c) (d) None of these 45. General solution of is (a) (b) (c) (d) None of these 46. If and and then the value of is (a) (b) (c) 0 (d) None of these 47. The smallest value of satisfying is (a) (b) (c) (d) 48. If then = [MP PET 1992] (a) (b) (c) (d) 49. If , , then the principal value of will be (a) (b) (c) (d) 50. The smallest positive angle satisfying the equation is (a) (b) (c) (d) 51. If , then the value of x other than 0 lying between is (a) (b) (c) (d) 52. The value of x satisfying the equation is given by (a) (b) (c) (d) 53. If and is an acute angle, then is equal to (a) (b) (c) 0 (d) None of these 54. The values of satisfying are (a) (b) (c) (d) 55. If , then x = (a) (b) (c) (d) 56. If then (a) (b) (c) (d) 57. If r then (a) (b) (c) (d) 58. If for all x, then value of must be (a) 0o (b) 30o (c) 45o (d) 60o 59. If where then (a) (b) (c) (d) None of these 60. ( n is integer), if = (a) and (b) and (c) only (d) only 61. If and , then the values of are (a) and (b) and (c) and (d) and 62. If then equals (a) (b) (c) (d) 63. If then one of the values of is (a) (b) (c) (d) None of these 64. If and then value of is [T.S. Rajendra 1992] (a) (b) (c) (d) 65. , then x = (a) (b) (c) (d) None of these 66. If then (a) (b) (c) (d) None of these 67. If , where , then x = (a) (b) (c) (d) None of these 68. The equation is satisfied for the values of x given by (a) cos x = 0 (b) tan x = –1 (c) tan x = 1 (d) Both (a) and (b) 69. If satisfies the equation , then the value of is (a) (b) (c) (d) 0 70. The value of lying between and and satisfying the equation is (a) (b) (c) (d) 71. The smallest positive value of x and y, satisfying and are (a) (b) (c) (d) None of these 72. If then in the interval the value of  is (a) (b) (c) (d) 73. Period of is (a) (b) (c) (d) None of these 74. Period of is (a) (b) (c) (d) 75. Period of is (a) (a) (c) (d) 76. Period of is (a) (b) (c) (d) 77. Period of is (a) (b) (c) (d) None of these 78. Period of is (a) (b) (c) (d) 79. Period of is (a) (b) (c) (d) 80. Period of is (a) (b) (c) (d) 81. The period of the function is (a) 4 (b) 6 (c) 12 (d) 24 82. The period of the function is (a) (b) (c) 2 (d) 1 83. The period of is (a) (b) (c) (d) None of these 84. The period of is (a) (b) (c) (d) None of these 85. The period of is (a) (b) (c) (d) 86. The period of is (a) (b) (c) (d) None of these 87. The period of is (a) (b) (c) (d) None of these 88. The period of is (a) (b) (c) (d) None of these 89. The period of the function in radians is (a) (b) (c) (d) 90. The function f given by is periodic with period (a) 6 (b) 3 (c) 4 (d) 12 91. The solution set of inequality is (a) (b) (c) (d) None of these 92. Let and (x measured in radians) then x lies in the interval (a) (b) (c) (d) 93. The number of values of satisfying is (a) 2 (b) 0 (c) 4 (d) 8 94. If then the solution set for x is (a) (b) (c) (d) 95. The number of solutions of is (a) 8 (b) 4 (c) 2 (d) None of these 96. If and then the solution set for x is (a) (b) (c) (d) None of these 97. If and then the solution for x is (a) (b) (c) (d) None of these 98. The set of values of x for which is (a) (b) (c) (d) None of these 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 b a b b c c d b c c a b a a a b a d b b 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 c a a a d c a d d b a a c b d d c d a c 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 b a c c c a c b b b c d a a b a b c b b 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 c c c c b d c d b a,b b c,d b c c c b d c d 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 a d c c c b a a b d c d c d b c a b

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