List of top Mathematics Questions asked in BITSAT

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
If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the plane 2x-4y+z=7, then the value of k is
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
In a triangle ABC, C=90^, then (a²-b²)/(a²+b²) is equal to
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
If: p: Raju is tall and q: Raju is intelligent, then the symbolic statement p q means:
Find the value of 2⁻¹(1)/(5)+⁻¹(1)/(2)+2⁻¹(1)/(8)
If 2x+35 < 4x-12, then x lies in the interval:
The line 3x-4y+7=0 is rotated through an angle (π)/(4) in the clockwise direction about the point (-1,1). The equation of the line in its new position is:
If in the expansion of (2x+14x)ⁿ, T₃ = 7T₂ and the sum of the binomial coefficients of second and third terms is 36, then the value of x is:
Find the vertex of the parabola x²-8y-x+19=0.