BITSAT Mathematics Objective Questions Paper 23
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Q-1. The number of surjections from A = {1,2,…n), onto B=(a, b) is
(a)
(b)
(c)
(d) none of these
Q-2. Set A has 3 elements and set B has 4 elements. The number of injection that can be defined from A to B is
(a) 144
(b) 12
(c) 24
(d) 64
Q-3. is a function defined by f(x) = 10x-7. if then g(x) =
(a)
(b)
(c)
(d)
Q-4. The number of objective function from set A to itself when A contains 106 elements is
(a) 106
(b)
(c)
(d)
Q-5. f(x) = |sin x| has an inverse if its domain is
(a)
(b) (c)
(d) none
Q-6. If the area of the triangle formed by points z, iz and z+iz is 50 square units, then |z| is
(a) 5
(b) 10
(c) 15
(d) none of these
Q-7. if area of triangle on plane turned by number z,then |z| is
(a) 4
(b) 2
(c) 6
(d) 3
Q-8. The locus of point z satisfying when k is a non-real real number is
(a) Straight line
(b) A circle
(c) An ellipse
(d) A hyperbola
Q-9. The locus of point z satisfying is
(a) Point of straight lines
(b) Circle
(c) Hyperbola
(d) None of these
Q-10. If are in G.P with common ratio r, then value of holds if
(a)
(b)
(c) r < 3 or r < 1
(d) none of these
Q-11 Let a,b,c be in A.P. and |a| <1,|b| <1, |c| <1.
If
Then x,y,z are in
(a)
(b)
(c)
(d)
Q-12. Let denotes set of values of x.
If
(a)
(b)
(c)
(d)
Q-13. If and are in G.P. then x is equal to
(a)
(b)
(c)
(d)
Q-14. IF has integral roots ,then values of a are
(a) 10,8
(b) 12,10
(c) 12,8
(d) none
Q-15. If has equal roots, then p is equal to
(a) 0
(b) 2
(c)
(d) None
Q-16. The value of a for which and have atleast one root, in common are
(a) 0,
(b)
(c)
(d)
Q-17. There are m copies of each n different books in libaray. The number of ways in which one or more than one book can be selected as
(a)
(b)
(c)
(d)
Q-18. The number of ways in which one or more balls. can be selected out of 10 white, 9 green and 7 blues balls, is
(a) 892
(b) 881
(c) 891
(d) 879
Q-19. The number of all 3 elements subsets of det which contains is
(a)
(b)
(c)
(d) None of these
Q-20. The number of terms which are free from radical signs in expansion is
(a) 5
(b) 6
(c) 7
(d) None of these
Q-21. If sum of coefficient of is 4096, then greatest coefficient is
(a) 924
(b) 792
(c) 1594
(d) None of these
Q-22. term in the expansion of x>1 is 1000, then x is
(a) 100
(b) 1000
(c) 1
(d)
Q-23. If A is square matrix of order n, then adj (adj A) is equal to
(a)
(b)
(c)
(d)
Q-24. If A is singular, then A adj A is matrix
(a) Identify
(b) Null
(c) Scalar
(d) None of these
Q-25. If and then equals
(a)
(b)
(c)
(d) None of these
Q-26. If = (x-y)(y-z)(z-x) then n equals
(a) 1
(b) -1
(c) 2
(d) -2
Q-27. The orthocenter of the triangle formed by lines xy=0 and x+y=1 is
(a)
(b)
(c) (0, 0)
(d)
Q-28. The area of figure formed by is
(a)
(b)
(c)
(d) None of these
Q-29. The equation represent pair of lines if
(a)
(b)
(c)
(d) None of these
Q-30. If an equilatual triangle is inscribed in circle then length of each side is
(a)
(b)
(c) a
(d) None of these
Q-31. The lotus rectum of parabola whose focal chord is P S Q is such that SP=3 and SQ=2 is given by
(a)
(b)
(c)
(d) None of these
Q-32. Find c such that straight line touches curve is
(a) 0
(b) 3
(c) 2
(d) Infinite
Q-33. The eccentricity of the conic represented by
(a) 1
(b)
(c) 2
(d)
Q-34. If f(x+2y, x-2y)=xy, then f(x, y) equal
(a)
(b)
(c)
(d)
Q-35. The period of f(x) =
(a)
(b)
(c)
(d) None of these
Q-36. is equal to
(a) 3
(b) 4
(c) 1
(d) 2
Q-37. is equal to
(a)
(b)
(c) e
(d) 1
Q-38. If is differentiable on
(a) [-1,1]
(b) R-[-1,1]
(c) R-(-1,1)
(d) None of these
Q-39. If is continuous, then
(a)
(b)
(c)
(d) None of these
Q-40. If equals
(a)
(b)
(c)
(d) None of these