Mathematics Objective Questions Paper 22
Get unlimited access to the best preparation resource for KVPY : fully solved questions with step-by-step explanation- practice your way to success.
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 3x+y=9 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 3x+4y=20 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) {-1,1,0}
(b) {cos1,1,cos 2}
(c) {cos1,-cos 1,1}
(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) log(tan x)
(b) tan (log x)
(c) tan {log(log x)}
(d) log1log(tan x)
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) ½
(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