List of top Mathematics Questions asked in BITSAT

10ⁿ+3(4ⁿ⁺²)+5 is divisible by (nN):
If the expression x²-11x+a and ax²-14x+2a must have a common factor, then the common factor is:
If f(t)=1-t1+t, then f'(1) is equal to:
If the function f:(-∞,∞)→ B defined by f(x)=-x²+6x-8 is bijective, then B=
If A and B are 2×2 matrices, which of the following is true?
The digits A,B,C are such that the three-digit numbers A88, 6B8, 86C are divisible by 72. Then the determinant vmatrix A & 6 & 8
8 & B & 6
8 & 8 & C vmatrix is divisible by
If M(α)= bmatrix α & -α & 0
α & α & 0
0 & 0 & 1 bmatrix, M(β)= bmatrix β & 0 & β
0 & 1 & 0
-β & 0 & β bmatrix then [M(α)M(β)]^-1 is equal to
If y=e⁻ˣ x and y+k y'=0, where y₄=d⁴ydx⁴, then k=
The set of points of discontinuity of the function f(x)=(1)/(|x||x|) is
Evaluate: x⁻¹xdx
Evaluate ₀¹ dx√(2-x²)
If ₀ⁿ [x]dx = 66, then n=
Area of the triangle formed by the line x+y=3 and angle bisectors of the pair of straight lines x²-y²+2y=1 is
The random variable X has the following probability distribution |c|c|c|c|c|c| x & 0 & 1 & 2 & 3 & 4
P(X=x) & k & 3k & 5k & 2k & k
Then the value of P(X\ge2) is
Solution of differential equation (dy)/(dx)+(y)/(x)= x
A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60^. When he retreats 20 feet from the bank, he finds the angle to be 30^. The breadth of the river in feet is:
Two tangents PQ and PR drawn to the circle x²+y²-2x-4y-20=0 from point P(16,7). If the centre of the circle is C, the area of quadrilateral PQCR is
The value of ₓₒ₀((4ˣ-1)³)/(x²(1+3x)) is
In a triangle ABC, C=90^, then (a²-b²)/(a²+b²) is equal to
A line segment has length 63 and direction ratios are 3,-2,6. If the line makes an obtuse angle with x-axis, the components of the line vector are
The equation of tangent to the curve y= x at the point (π,0) is
If (2 x- x+λ)/( x+ x-2)dx = A| x+ x-2|+Bx+C, then the ordered triplet (A,B,λ) is
The minimum value of the function y=x⁴-2x²+1 in the interval [-\frac12,2] is
The value of a in order that f(x)= x- x-ax+b decreases for all real values is
If a>0, b>0, c>0 are respectively the pth, qth, rth terms of G.P., then the value of the determinant vmatrix a & p & 1
b & q & 1
c & r & 1 vmatrix is