AFCAT Mathematics Objective Questions Paper 24
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Q-1. The equation are the sides of
(a) An equilateral triangle
(b) A Right angled triangle
(c) An isosceles triangle
(d) An obtuse angled triangle
Q-2. The tangents to the circle at the points and are
(a) Parallel
(b) At right angles
(c) Inclined at an angle of
(d) Inclined at an angle of
Q-3. If the direction cosines of a straight line are <k, k, k>, then
(a)
(b)
(c)
(d)
Q-4. Angle between the straight line
And the plane 4x-2y+4z=9 is
(a)
(b)
(c)
(d)
Q-5. The number of tangents to the circle through the point (-1,2) is
(a) 1
(b) 2
(c) 0
(d) none of these
Q-6. The distance between the line is
(a) 2
(b) 8
(c) -2
(d) None of these
Q-7. Radius of the sphere through the points (4,3,0),(0,4,3),(0,5,0)and (4,0,3)is
(a) 7
(b) 5
(c)
(d) none of these
Q-8. The medians AD and BE of a triangle with vertices at A(0,b), B(0,0)and C(a,0) are perpendicular to each other if
(a)
(b)
(c)
(d) b
Q-9. The straight line x+y=0, 3x+y-4=0, x+3y-4=0, from a triangle which is
(a) Isosceles
(b) Equilateral
(c) Right angled
(d) None of these
Q-10. If the two variables X and Y have a perfect correction (direction indirect),then they may be connected by a relation of the type
(a)
(b)
(c)
(d) none of these
Q-11. 25% of the items of a data are less than 35 and 25% of the items are more than 75. Q. D of the data is
(a) 55
(b) 20
(c) 35
(d) 75
Q-12. The line passing through (1,1) and parallel to the line 2x-3y+5=0 is
(a) 3x+2y=5
(b) 2x-3y+1=0
(c) 3x-2y=1
(d) 2x+3y=5
Q-13. The area of the triangle with vertices at the points (a,b+c), (b, c+a), (c, a+b) is
(a)
(b)
(c)
(d)
Q-14. Maximum and minimum magnitudes of resultant of two forces acting at a point are 18 and 4. The magnitudes of the two forces are
(a) 11 and 7
(b) 22 and 14
(c) 9 and 2
(d) none of these
Q-15. Two forces P and Q act at a point along perpendicular directions; the magnitude of their resultant is
(a)
(b)
(c)
(d)
Q-16. A particle starts from rest with uniform acceleration and acquires a velocity of 40 m/sec in 10 seconds. The displacement of the particle at the end of 10 seconds is
(a) 4m
(b) 200 m
(c) 20 m
(d) none of these
Q-17. Forces of magnitudes 3N, 5N, and 7N acting at a point are in equilibriums. The angle between the directions of the first two forces is
(a)
(b)
(c)
(d)
Q-18. A stone A is thrown vertically upwards with a velocity of 29.4 m/sec. After stone B is let fall from the same point. A will overtake B after
(a) 1
(b) 2
(c) 3
(d) 4 sec
Q-19. Which of the following statement is correct?
(a) Every L.P.P has at least on optimal solution
(b) Every L.P.P has a unique optimal solution
(c) If an L.P.P has a unique optimal solution
(d) None of these
Q-20. Decimal from of the numeral is
(a) 8
(b) 100
(c) 4
(d) None of these
Q-21. The number of significant digits in 0.0001 is
(a) 5
(b) 4
(c) 1
(d) None of these
Q-22. If is equal to
(a) 1
(b) 3
(c) 2
(d) None of these
Q-23. is equal to
(a)
(b)
(c)
(d) None of these
Q-24. Which of the following function is periodic?
(a)
(b)
(c) x. Sin x
(d)
Q-25.
(a) all x, yR
(b)
(c)
(d)
Q-26. holds good for all
(a)
(b)
(c)
(d) None of these
Q-27. If 3 then the value of is equal to
(a) 0
(b) -5
(c) 5
(d) None of these
Q-28. If and , then if and only if
(a)
(b)
(c)
(d)
Q-29. If a function F is such that F(0)=2,F(1)=3,F(n+2)=2F(n)-F(n-1) for then F(5) is equal to
(a) -7
(b) -3
(c) 7
(d) 13
Q-30. ABC is an equilateral triangle of the each side a (> 0). The in radius of the triangle is
(a)
(b)
(c)
(d)
Q-31. The greatest angle of a cyclic quadrilateral is 3 times the least. The circle measure of the least angle is
(a)
(b)
(c)
(d) None of these
Q-32. The domain of the function
(a)
(b)
(c)
(d)
Q-33. Let A and B{1,2,4},then F={(1,1),(1,2),(2,1),(3,4)} is a
(a) One-one function from A to B
(b) Bisection from A to B
(c) Surjection from A to B
(d) None of these
Q-34.
(a)
(b)
(c)
(d)
Q-35. Circle measure of an angle of 1 radian is
(a) 90
(b)
(c) 1
(d) none
Q-36 is equal to
(a) 1
(b)
(c) 2
(d) 0
Q-37 is equal to
(1)
(2)
(3) Cosec x
(d) None of these
Q-38.
Is equal to
(a) 2
(b) 1
(c)
(d)
Q-39. If
(a)
(b)
(c)
(d)
Q-40. The function f(x) =
Assumes minimum value of x given by
(a) 5
(b) 3
(c)
(d) 2
Q.41 The curve has at (0, 0)
(a) A vertical tangent
(b) A horizontal tangent
(c) Oblique tangent
(d) No tangent
Q-42.
dx is equal to
(a) -1
(b) 2
(c)
(d) none of these
Q-43. if (x)= has the value
(a)
(b)
(c)
(d) none of these
Q-44. is equal to
(a)
(b)
(c)
(d) 2 sin x
Q-45. dx can be evaluated by the substitution
(a)
(b)
(c)
(d)