List of top Mathematics Questions asked in BITSAT

Let f(x)=(eˣ-1)²(xa)(1+x4) for x≠0, and f(0)=12. If f(x) is continuous at x=0, then the value of a is

Which of the following functions is differentiable at x=0?

The minimum value of x⁴+y⁴+z⁴xyz for positive real numbers x,y,z is

If P(A B)=23, P(A B)=16 and P(A)=13, then

The equation of the plane containing the line x-x₁=y-y₁m=z-z₁n is a(x-x₁)+b(y-y₁)+c(z-z₁)=0, then

A wholesale merchant wants to start the business of cereal with ₹24000. Wheat is ₹400 per quintal and rice is ₹600 per quintal. He has capacity to store 200 quintal cereal. He earns the profit ₹25 per quintal on wheat and ₹40 per quintal on rice. If he stores x quintal rice and y quintal wheat, then maximum profit is the objective function

If mean of a Poisson distribution of a random variable X is 2, then the value of P(X>1.5) is

A flagstaff of 6 metres high placed on the top of a tower throws a shadow of 2\sqrt3 metres along the ground, when the angle (in degrees) which the sun makes with the ground is

The perpendicular distance of point P(1,2,3) from the line x-63=y-72=z-7-2 is

What is the solution of dydx+2y=1 satisfying y(0)=0?

The solution of differential equation 2xdydx-y=3 represents a family of

If the midpoints of sides BC, CA, AB of triangle ABC are respectively D, E, F, then position vector of centre of triangle DEF, when position vectors of A, B, C are respectively i+ j, j+ k, k+ i, is

If ( a × b)² + ( a · b)² = 676 and | b| = 2, then | a| is equal to

Which one of the following is the unit vector perpendicular to both a = - i + j + k and b = i - j + k?

With respect to a rectangular Cartesian coordinate system, three vectors are expressed as a = 4 i- j, b=-3 i+2 j and c=- k. The unit vector along the direction of sum of these vectors is

If a circular plate is heated uniformly, its area expands 3c times as fast as its radius, then the value of c when the radius is 6 units, is

The area of the region bounded by the curve y=x|x|, x-axis and the ordinates x=1, x=-1 is given by

If Im=₀¹ ( x)ᵐ dx, where mN, then I₁₀+10I₉ is equal to

The function f(x)= x-4x is strictly decreasing on

The slope of the tangent to the hyperbola 2x²-3y²=6 at (3,2) is

4(x+(π)/(6))\cos2x((5π)/(6)+x)dx

The value of vmatrix 1 & 2 & 3
-4 & 3 & 6
2 & -7 & 9 vmatrix is

Let f(x)=cases ax²+1, & x>1
x+a, & x\le1 cases Then f(x) is derivable at x=1, if

Let E=1,2,3,4 and F=1,2. Then the number of onto functions from E to F is

If f(x)=x√(1+x²), then (f f)(x) is