# Mathematics Objective Questions Paper 20

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Q-1. holds true for all

(a)

(b)

(c)

(d) none of these

Q-2. is equal to

(a)

(b)

(c)

(d) None of these

Q-3. if f (x) = log is equal to

(a) f (x)

(b) 2 f (x)

(c) 4 f (x)

(d) none of these

Q-4. if is equal

(a) 0

(b) 2

(c) 1

(d) none of these

Q-5. is equal

(a) 0

(b) 2

(c) 1

(d) none of these

Q-6. Which of the following is true?

(a) Domain of

(b) Range of

(c) Range of

(d) Range of

Q-7. Which of the following function is inverse to itself?

(a)

(b)

(c)

(d)

Q-8. The value of is equal to

(a) 5

(b) 15

(c) 13

(d) none of these

Q-9. Solution of the equation is given by

(a)

(b)

(c)

(d) none of these

Q-10. If

(a) x

(b) x-1

(c) 1-x

(d) 1 + x

Q-11. If then value of

(a) 0

(b) 1

(c) 2

(d) 3

Q-12. is equal to

(a)

(b)

(c)

(d)

13. is equal to

(a) 0

(b) 1

(c)

(d) none of these

14. if

(a) is equal to 1

(b) is equal to 0

(c) is equal to -1

(d) does not exist

15. is equal to

(a)

(b)

(c)

(d)

16. if f (x) =| x-1| , then

(a)

(b)

(c)

(d)

17.

Is equal to

(a)

(b)

(c)

(d) none of these

18. The value of is

(a)

(b)

(c)

(d) 0

19. is equal to

(a)

(b)

(d) None of these

20.

(a) Is equal to 0

(b) Tends to

(c) Tends to

(d) Does not exit

21. x [x] is equal to

(a) 0 or 1

(b) 0 or -1

(c) 0

(d) none of these

22. is equal to

(a)

(b)

(c)

(d) none of these

23. dx =

(a) log 3

(b)

(c)

(d) none of these

24. If f (x) be any function which assumes only positive values and f (x) exists, then f ′ (x) is equal to

(a) )

(b)

(c)

(d) none of these

Q-25. is equal to

(a) 1

(b) n

(c) n-1

(d) none of these

Q-26. dx is equal to

(a)

(b)

(c)

(d) none of these

Q-27.

(a) 18

(b) 0

(c) -18

(d) none of these

Q-28. If the vectors and are at right angles, then a, b, c can have values

(a) a = 2, b = 3, c =-4

(b) a = 4, b = 4, c = 5

(c) a = 4, b = 4, c =-5

(d) a = 4, b =-4, c =-5

Q-29. and are the centers of the two circle whose radius are and The two circle touch each other internally if

(a)

(b)

(c)

(d)

Q-30. The length of perpendicular from the origin upload the line is

(a)

(b)

(c)

(d) none of these

Q-31. If cross product of two non-zero vectors is zero, then the vectors are

(a) Collinear

(b) Co-directional

(c) Co-initial

(d) Co-terminus

Q-32. The number of vectors of unit length perpendicular to vectors of unit length perpendicular to vectors and , is

(a) one

(b) three

(c) two

(d) infinite

Q-33. The line passing through (0,1) and perpendicular to the line x-2y + 11 = 0 is

(a)

(b)

(c)

(d)

Q-34. The perpendicular distance of the origin from the line 3x + 4y + 1 = 0 is

(a)

(b)

(c)

(d)

Q-35. If is the angle between two unit vectors then is equal to

(a)

(b)

(c)

(d)

Q-36. If are three vectors, then is not equal to

(a)

(b)

(c)

(d) none of these

Q-37. The acute angle between the lines x-y = 0 and y = 0 is

(a)

(b)

(c)

(d)

Q-38. The vertices of a triangle are (0.3) , (-3,0) and (3,0) . The orthocenter of the triangle is

(a) (0,0)

(b) (0,3)

(c) (3,0)

(d) (-3,0)

Q-39. The equation represents

(a) pair of unites

(b) a pair of planes

(c) a spheres

(d) none of these

Q-40. The spheres

(a) Intersect in a plane

(b) Intersect in five points

(c) Do not intersect

(d) None of these

Q-41. If a line passes through (2,2) and is perpendicular to the line 3x + y = 3, its y-intercept is

(a)

(b)

(c)

(d) none of these

Q-42. The lines and are at right angles if

(a)

(b)

(c)

(d)

Q-43. The distance of the point (x, y, z) from the x y – plane is

(a) x

(b) y

(c) z

(d) | z|

Q-44. The line

(a) Parallel

(b) Coincident

(c) Skew

(d) Perpendicular

Q-45. The G. M of the numbers is

(a)

(b)

(c)

(d)