Mathematics Objective Questions Paper 21
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Q-1.In a triangle ABC, cosec A (sin B cos C +cos B sin C) equals
(a)
(b)
(c) 1
(d) 0
Q-2. If for what value, if any, of x is ?
(a)
(b)
(c) 0
(d) no value
Q-3. The principle value of
(a)
(b)
(c)
(d)
Q-4. if the angles of a triangles are in the ratio 1:23:, then the sides are in the ratio
(a)
(b)
(c)
(d)
Q-5. The equation 2 sin x + cos x = 3 has
(a) Only one solution
(b) No solution
(c) Infinitely many solution
(d) Finitely many solution
Q-6 then
(a)
(b)
(c)
(d)
Q-7. The function f(X) = x3 is increasing in
(a) 1
(b)
(c)
(d)
Q-8. If sin X + cos X=a, then |Sin X-Cos X| equals
(a)
(b)
(c)
(d) None of these
Q-9 In, the function f(x) = x/sin x is
(a) An increasing function
(b) A decreasing function
(c) A constant function
(d) None of these
Q-10. Let then f(x) is
(a) An even function
(b) An odd function
(c) An increasing function
(d) A decreasing function
Q-11. If
(a)
(b)
(c)
(d) None of these
Q-12. The values of is equal to
(a) 0
(b) 2
(c) ½
(d) None of these
Q-13. If y=a sin mx+b cos mx, then is equal to
(a)
(b)
(c) My
(d) None of these
Q-14. If
(a) 1
(b) 3
(c) 2
(d) 0
Q-15. The value of dx is equal to
(a) sin (log 3)
(b) cos (log 3)
(c)
(d) 1
Q-16. dx is equal to
(a)
(b)
(c)
(d) None of these
Q-17. Differential coefficient of a function f(g(x)) with respect to the function g(x) is
(a)
(b)
(c) F’(g(x)/g’(x)
(d) None of these
Q-18. If
(a)
(b)
(c)
(d)
Q-19. The degree of the differential equation is
(a) 1
(b) 2
(c) 3
(4) 4
Q-20. The unit vector perpendicular to each of vectors
(a)
(b)
(c)
(d) None of these
Q-21. If G is the centurion of a triangle ABC and O is any point, then is equals to
(a)
(b)
(c)
(d) None of these
Q-22. The order and degree of the differential equation are respectively.
(a) 2,4
(b) 4,1
(c) 4,2
(d) 2,2
Q-23.
(a) 1
(b) 2
(c) 0
(d) 3
Q-24. The length of projection of the vector on the is
(a)
(b)
(c)
(d)None of these
Q-25. If
(a)
(b)
(c)
(d)
Q-26. The area bounded by the curve and axis is
(a)
(b)
(c)
(d)
Q-27. Vector projection of a vector on another vector is
(a)
(b)
(c)
(d)
Q-28. If are two vectors, then is equal to
(a)
(b) , where
(c)
(d) None of these
Q-29. The parabola and the circle touch each other at the point
(a) (0,0)
(b) (a,0)
(c) (0,a)
(d) None of these
Q-30. Length of the common chord of the parabolas and is
(a) 1
(b)
(c)
(d)None of these
Q-31. The points (0,2,0), and are the vertices of
(a) A scalene triangle
(b) An equilateral triangle
(c) As isosceles triangle degree equation in
(d) None of these
Q-32. The locus of a first degree equation in x, y and x is a
(a) Straight line
(b) Plane
(c) Sphere
(d) None of these
Q-33. The point of contract of and is
(a) (1,1)
(b) (-1,1)
(c) (1,-1)
(d) (-1,-1)
Q-34. Three points A,B and C are collinear if the area of triangle ABC is
(a) Greater than zero
(b) Less than zero
(c) Zero
(d) None of these
Q-35. Area of whose vertices are and C(2,-1,3) is
(a) 9
(b) 0
(c)
(d) None of these
Q-36. If the four points(3,-2,1),(2,-3,-4),(-1,1,2)and are coplanar, then is equal to
(a) 0
(b)
(c)
(d) None of these
Q-37. The locus of a point, whose abscissa and ordinate are always equal is
(a)
(b)
(c)
(d)
Q-38. The equation represents a
(a) Plane
(b) Sphere of radius 4
(c) Sphere of radius 3
(d) None of these
Q-39. The number of sphere of a given radius which touch the coordinate planes is
(a) 8
(b) 4
(c) 2
(d) 1
Q-40. Area of a triangle is 5 units, its two vertices are (2,1) and (3,-2). Third vertex is on the line y=x+3. The coordinates of that vertex are
(a)
(b) (8,14)
(c)
(d)
Q-41. The projection of a line segment on the coordinates are 1,2,4 and 3 respectively.
The length of the line segment is
(a) 19
(b) 16
(c) 13
(d) 15
Q-42. The co-ordinates of the intersection of the line and the plane are
(a)
(b)
(c)
(d)
Q-43. If cov (x,y)=0, then the two lines of the regression are
(a) Parallel
(b) Coincident
(c) At right angles
(d) None of these
Q-44. If the lines of regression are at right angles, then p(x, y) is equal to
(a) 1
(b) -1
(c) 10 r -1
(d) 0
Q-45. Two unlike parallel forces P and Q (P) act distinct points of a rigid body. The magnitude of their resultant is
(a) P-Q
(b) Q-P
(c) IP-Q1
(d) None of these