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Question 1 of 68
1. Question
is discontinuous when
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Question 2 of 68
2. Question
is discontinuous at x = ?
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Question 3 of 68
3. Question
is equal to
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Question 4 of 68
4. Question
If is
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Question 5 of 68
5. Question
If y = a cos x + b sin x then is equal to
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Question 6 of 68
6. Question
The probability of a sure event is
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Question 7 of 68
7. Question
If y = ae^{x} + be^{−x} then is
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Question 8 of 68
8. Question
If y = cot x, then is
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Question 9 of 68
9. Question
If y = log x^{2}, then the value of is
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Question 10 of 68
10. Question
If is
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Question 11 of 68
11. Question
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Question 12 of 68
12. Question
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Question 13 of 68
13. Question
is equal to
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Question 14 of 68
14. Question
is equal to
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Question 15 of 68
15. Question
The value of is
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Question 16 of 68
16. Question
The value of is
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Question 17 of 68
17. Question
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Question 18 of 68
18. Question
is equal to
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Question 19 of 68
19. Question
If n(A) = 3 and n(B) = 6 and A ⊆ B, then the number of elements in A ∪ B is equal to
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Question 20 of 68
20. Question
A relation R on a set A is called an equivalence relation if
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Question 21 of 68
21. Question
The number log_{2} 7 is
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Question 22 of 68
22. Question
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Question 23 of 68
23. Question
The sum of the series is
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Question 24 of 68
24. Question
An approximate value of log 3 correct to one place of decimal is
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Question 25 of 68
25. Question
Which of the following is not a measure of central tendency?
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Question 26 of 68
26. Question
The mean of first n natural numbers is
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Question 27 of 68
27. Question
If the mode of a data is 18 and the mean is 24, then median is
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Question 28 of 68
28. Question
49^{n} + 16n – 1 is divisible by
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Question 29 of 68
29. Question
The value of ^{13}C_{2} + ^{13}C_{3} + …….+ ^{13}C_{13} is
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Question 30 of 68
30. Question
The 4th term in the expansion of is
(for x > 0)
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Question 31 of 68
31. Question
Angle between vectors is
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Question 32 of 68
32. Question
The area of the parallelogram of which are adjacent is
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Question 33 of 68
33. Question
The unit vector perpendicular to vectors forming a righthanded system is
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Question 34 of 68
34. Question
The value of n, when ^{n}P_{2} = 20 is
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Question 35 of 68
35. Question
If 2 + i√5is a root of a quadratic equation then the other root is
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Question 36 of 68
36. Question
If 3 − √7 is a root of a quadratic equation then the other root of it is
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Question 37 of 68
37. Question
If the roots of the equation x^{2} – ax + b = 0 are reciprocal to each other then
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Question 38 of 68
38. Question
If sum of the two roots of a quadratic equation is 8 and product of the two roots is 9 then the quadratic equation is
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Question 39 of 68
39. Question
If x + iy = 0 then
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Question 40 of 68
40. Question
The value of is
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Question 41 of 68
41. Question
The value of where is
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Question 42 of 68
42. Question
The complex conjugate of 2 + 5i is
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Question 43 of 68
43. Question
If tan x tan 3x = 1 then tan x is
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Question 44 of 68
44. Question
Given that, and θ lies in the 4th quadrant, then the value of cos θ is
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Question 45 of 68
45. Question
The number of solutions of the equation lying between 0 to 2π is
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Question 46 of 68
46. Question
If sin θ = 1, the value of θ (0 ≤ θ < 360°) is
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Question 47 of 68
47. Question
The point (−3, 6) lies in the
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Question 48 of 68
48. Question
Which one is polar coordinate?
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Question 49 of 68
49. Question
The cartesian coordinates of the point whose polar coordinates are (3, π/6), are
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Question 50 of 68
50. Question
The distance between two points (3, 5) and (8, 10) is
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Question 51 of 68
51. Question
The slop of the line 2x + 3y – 5 is
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Question 52 of 68
52. Question
The equation of the line parallel to Xaxis and at a distance of 5 units from it is
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Question 53 of 68
53. Question
The angle made by the straight line y = −x with the positive direction of Xaxis is
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Question 54 of 68
54. Question
The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 is
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Question 55 of 68
55. Question
The equation of the circle whose centre is (0, 0) and radius is 5, is
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Question 56 of 68
56. Question
The equation k(x^{2} + y^{2} – 2x – 2y – 1) = 0 where k ≠ 0 represents
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Question 57 of 68
57. Question
The latus rectum of the parabola y^{2} = −48x is
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Question 58 of 68
58. Question
The length of the radius of the circle x^{2} + y^{2} + 4x – 7y – t = 0 is 9/2, then value of t is
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Question 59 of 68
59. Question
The coordinates of the locus of the parabola y^{2} = 2ax which passes through the point of intersection of the straight lines are
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Question 60 of 68
60. Question
The length of the latus rectum of the parabola y^{2} = 25x is
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Question 61 of 68
61. Question
The value of x when x = −3, is
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Question 62 of 68
62. Question
√3 is a
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Question 63 of 68
63. Question
If f(x) = log_{e} x and g(x) = e^{x}, then g{f(x)} is
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Question 64 of 68
64. Question
If f(x) = x – 2x, then the value of f(−4) is
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Question 65 of 68
65. Question
If then is
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Question 66 of 68
66. Question
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Question 67 of 68
67. Question
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Question 68 of 68
68. Question
The value of is
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