Mathematics Objective Questions Paper 20

Q-1. Equation holds true for all

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-2. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) None of these

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

(a) f(x)

(b) 2 f(x)

(c) 4 f(x)

(d) none of these

Q-4. if Equation is equal

(a) 0

(b) 2

(c) 1

(d) none of these

Q-5. Equation is equal

(a) 0

(b) 2

(c) 1

(d) none of these

Q-6. Which of the following is true?

(a) Domain of Equation

(b) Range of Equation

(c) Range of Equation

(d) Range of Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-8. The value of Equation is equal to

(a) 5

(b) 15

(c) 13

(d) none of these

Q-9. Solution of the equation Equation is given by

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-10. If Equation

(a) x

(b) x-1

(c) 1-x

(d) 1+x

Q-11. If Equation then value of Equation

(a) 0

(b) 1

(c) 2

(d) 3

Q-12. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) Equation

13. Equation is equal to

(a) 0

(b) 1

(c) Equation

(d) none of these

14. if Equation Equation

(a) is equal to 1

(b) is equal to 0

(c) is equal to -1

(d) does not exist

15. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

17. Equation

Equation

Is equal to

(a) Equation

(b) Equation

(c) Equation

(d) none of these

18. The value of Equation is

(a) Equation

(b) Equation

(c) Equation

(d) 0

19. Equation is equal to

(a) Equation

(b) Equation

(d) None of these

20. Equation

(a) Is equal to 0

(b) Tends to Equation

(c) Tends to Equation

(d) Does not exit

21. Equation x[x] is equal to

(a) 0 or 1

(b) 0 or -1

(c) 0

(d) none of these

22. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) none of these

23. Equation dx =

(a) log 3

(b) Equation

(c) Equation

(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) Equation )

(b) Equation

(c) Equation

(d) none of these

Q-25. Equation is equal to

(a) 1

(b) n

(c) n-1

(d) none of these

Q-26. Equation dx is equal to

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-27. Equation

(a) 18

(b) 0

(c) -18

(d) none of these

Q-28. If the vectors Equation and Equation 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. Equation and Equation are the centers of the two circle whose radius are Equation and Equation The two circle touch each other internally if

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(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 Equation and Equation , 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) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) none of these

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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 Equation represents

(a) pair of unites

(b) a pair of planes

(c) a spheres

(d)none of these

Q-40. The spheres Equation

(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) Equation

(b) Equation

(c) Equation

(d) none of these

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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 Equation

(a) Parallel

(b) Coincident

(c) Skew

(d) Perpendicular

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation