BITSAT Mathematics Objective Questions Paper 24

Q-1. The equation 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 Equation at the points Equation and Equation are

(a) Parallel

(b) At right angles

(c) Inclined at an angle of Equation

(d) Inclined at an angle of Equation

Q-3. If the direction cosines of a straight line are <k, k, k>, then

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-4. Angle between the straight line

Equation

And the plane 4x-2y+4z=9 is

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-5. The number of tangents to the circle Equation through the point (-1,2) is

(a) 1

(b) 2

(c) 0

(d) none of these

Q-6. The distance between the line Equation 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) Equation

(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) Equation

(b) Equation

(c) Equation

(d) Equation 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) Equation

(b) Equation

(c) Equation

(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) Equation

(b) Equation

(c) Equation

(d) Equation

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) Equation

(b) Equation

(c) Equation

(d) Equation

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) Equation

(b) Equation

(c) Equation

(d) Equation

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 Equation 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 Equation is equal to

(a) 1

(b) 3

(c) 2

(d) None of these

Q-23. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) None of these

Q-24. Which of the following function is periodic?

(a) Equation

(b) Equation

(c) x. Sin x

(d) Equation

Q-25. Equation

(a) all x, y Equation R

(b) Equation

(c) Equation

(d) Equation

Q-26. Equation holds good for all

(a) Equation

(b) Equation

(c) Equation

(d) None of these

Q-27. If 3 Equation then the value of Equation Equation is equal to

(a) 0

(b) -5

(c) 5

(d) None of these

Q-28. If Equation and Equation , then Equation if and only if

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-29. If a function F is such that F(0)=2,F(1)=3,F(n+2)=2F(n)-F(n-1) for Equation 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) Equation

(b) Equation

(c) Equation

(d) Equation

Q-31. The greatest angle of a cyclic quadrilateral is 3 times the least. The circle measure of the least angle is

(a) Equation

(b) Equation

(c) Equation

(d) None of these

Q-32. The domain of the function Equation

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-33. Let A Equation 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. Equation

Equation

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-35. Circle measure of an angle of 1 radian is

(a) 90

(b) Equation

(c) 1

(d) none

Q-36 Equation Equation is equal to

(a) 1

(b) Equation

(c) 2

(d) 0

Q-37 Equation is equal to

(1) Equation

(2) Equation

(3) Cosec x

(d) None of these

Q-38.

Equation

Is equal to

(a) 2

(b) 1

(c) Equation

(d) Equation

Q-39. If Equation

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-40. The function f(x) = Equation

Equation

Assumes minimum value of x given by

(a) 5

(b) 3

(c) Equation

(d) 2

Q.41 The curve Equation has at (0, 0)

(a) A vertical tangent

(b) A horizontal tangent

(c) Oblique tangent

(d) No tangent

Q-42. Equation

Equation

dx is equal to

(a) -1

(b) 2

(c) Equation

(d) none of these

Q-43. if Equation (x)= Equation has the value

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-44. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) 2 sin x

Q-45. Equation dx can be evaluated by the substitution

(a) Equation

(b) Equation

(c) Equation

(d) Equation