List of top Questions asked in BITSAT

A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle of 60^ with the horizontal and height of the house is 6\sqrt3 meters, then the length of the ladder is:
The degree of the differential equation ((d²y)/(dx²))³+4-3d²ydx²+5(dy)/(dx)=0 is:
Find the value of ₀⁽⁴π⁾/⁽³⁾|sin x|dx.
Let I₁=₀²1√(1+x²)dx and I₂=₀²(1)/(x)dx, then:
Two vectors A and B are such that | A+ B|=| A- B|. The angle between them is:
What is the area bounded by y=tan x, y=0 and x=(π)/(4)?
Given the line L:(x-1)/(3)=(y+1)/(2)=(z-3)/(-1) and the plane π:x-2y-z=0. Of the following assertions, the only one that is always true is:
The curve y-eˣ+x=0 has a vertical tangent at:
The minimum value of f(x)=sin⁴x+cos⁴x in the interval (0,(π)/(2)) is:
The function f(x)=2x³-3x²-12x+4 has:
The function f(x)=sin x-kx-c, where k and c are constants, decreases always when:
If y=xˣ^², then dydx is equal to:
The function f(x)=(x-1)√|x| is at x=1:
Evaluate (x²)/(x²-1)dx.
If A=bmatrix2&0&0
2&2&0
2&2&2bmatrix, then det(adj A) is equal to:
If f(x)=casesx,& x rational
1-x,& x irrationalcases then f(f(x)) is equal to:
If f(x)=1-x1+x, the domain of f⁻¹(x) is:
The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:
A die is loaded such that the probability of throwing the number is proportional to its reciprocal. The probability that 3 appears in a single throw is:
The value of sin(4tan⁻¹(1)/(3))-cos(2tan⁻¹(1)/(3)) is:
For what value of k do the circles x²+y²+5x+3y+7=0 and x²+y²-8x+6y+k=0 cut orthogonally?
If the lines 3x-4y+4=0 and 6x-5y-7=0 are tangents then the radius of the circle is:
Find the A.M. of the first ten odd numbers.
Negation of “Paris is in France and London is in England” is:
If A and B are mutually exclusive events and if P(B)=13, P(A B)=(13)/(21), then P(A) is equal to: