# Mathematics Objective Questions for Maharashtra PSC Exam Paper 22

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Q-1 The distance of the point (x, y) from y-axis is

(a) x

(b) y

(c) | x|

(d) | y|

Q-2. The straight line divides the segment joining the points (1,3) and (2,7) in the ratio.

(a) 4: 2

(b) 3: 4

(c) 4: 5

(d) 5: 6

Q-3. If the angles of triangle ABC are in A. P. , then

(a)

(b)

(c)

(d) None of these

Q-4. The area of triangle is 80 and its perimeter is 8 cm. The radius of its inscribed circle is

(a) 10 cm

(b) 20 cm

(c) 5 cm

(d) None of these

Q-5. The straight line and the circle

(a) Touch each other

(b) Intersect in the two distinct point

(c) Neither touch nor intersect in two points

(d) None of these

Q-6. Slope of a line is not defined if the line is

(a) Parallel to x-axis

(b) Parallel to the line x-y = 0

(c) Parallel to the line x + y = 0

(d) Parallel to y-axis

Q-7. The number of values of which lie between 0 and satisfy the equation is

(a) 1

(b) 2

(c) 3

(d) None of theses

Q-8. If

(a)

(b)

(c)

(d) None of these

Q-9. The image of the point is the line is

(a)

(b)

(c)

(d) None of these

Q-10.

(a)

(b)

(c)

(d) None of these

Q-11. If a = 4, b = 3 and A = then c is a root of the equation

(a)

(b)

(c)

(d)

Q-12. The vertex od the parabola is

(a) (0,0)

(b) (-a, 0)

(c)

(d)

Q-13. slope of any line parallel to x-axis is

(a) 1

(b) -1

(c) 0

(d) Not defined

Q-14. bc is equal to

(a)

(b)

(c)

(d)

Q-15. If in a a cos A = bh cos B, then the triangle is a/an

(a) Equilibrium

(b) Right angled

(c) Isosceles

(d) Either isosceles or right angle

Q-16. The period of function f (x)

(a)

(b)

(c)

(d) None of these

Q-17. if x = {49 (n-1) : n e N} and

(a)

(b)

(c)

(d) None of these

Q-18. If P = and then

(a) P = Q

(b) P C Q

(c) Q C P

(d) None of these

Q-19. If then the value of x is

(a) 23

(b) 43

(c)

(d) None of these

Q-20. Derivative of with respect to sin x is

(a)

(b)

(c)

(d) None of these

Q-21. If x sin (a + y) = sin y, then dy/dx is equal to

(a)

(b)

(c)

(d)

Q-22. The range of the function is

(a)

(b)

(c)

(d) None of these

Q-23. The domain of the function

(a)

(b)

(c)

(d)

Q-24. Let has a

(a) Local maxima at x = 0

(b) Local minima at x = 0

(c) Point of inflexion at x = 0

(d) None of these

Q-25.

(a)

(b)

(c) 0

(d) None of these

Q-26. If I = and J = , then

(a)

(b)

(c)

(d) None of these

Q-27.

(a)

(b)

(c)

(d)

Q-28. If then f (0) is equal to

(a) Vanishes

(b) is positive

(c) is negative

(d) does not exist

Q-29. If is equal to

(a)

(b)

(c)

(d) 1

Q-30. is equal to

(a) 0

(b)

(c)

(d)

Q-31. dx is equal to

(a)

(b)

(c)

(d) None of these

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

(a) one

(b) Three

(c) Two

(d) Infinite

Q-33. Let and A, B be the points (1,2, 5) and (-1, -2, -3) respectively. If B =

(a) 0

(b) 1

(c) 2

(d) -2

Q-34.

(a)

(b)

(c)

(d) None of these

Q-35. The area is equal to

(a)

(b)

(c)

(d) None of these

Q-36. If then t s. t. is right angle to will be equal to

(a) 5

(b) 4

(c) 6

(d) 2

Q-37. Area of the parallelogram whose adjacent sides are is

(a)

(b)

(c)

(d)

Q-38. is equal to

(a)

(b)

(c)

(d)

Q-39. is equal to

(a) 0

(b) 24

(c) 24

(d) None of these

Q-40. is equal to

(a)

(b)

(c)

(d) None of these

Q-41. If x, y, eR, xy rational, y irrational and x rational, then

(a)

(b)

(c)

(d)

Q-42. If are two distinct complex numbers such that may be

(a) Zero

(b) Purely imaginary

(c) Real and positive

(d) Real and Negative

Q-43. If a > 0, then the equation has

(a) Real roots

(b) Rational roots

(c) Irrational roots

(d) Non-real roots

Q-44. The roots of the equation are

(a) Real for all

(b) Real when

(c) None-real for all

(d) Real when

Q-45. The number is equal is

(a) 4 in -2

(b)

(c)

(d) None of these