List of top Mathematics Questions asked in BITSAT

The function $\sin \, x + \cos \, x$ is maximum when $x$ is equal to

The set $A = \{ x : x \in R, x^2 = 16$ and $2x = 6\}$ equals

If $\frac{ d }{ dx }(\phi( x ))= f ( x )$, then $\int\limits_{1}^{2} f ( x )$ is equal to:

$\int\limits^2_0 |1 -x| dx$ is equal to

If $I_{m}=\int\limits_{1}^{e}(\ln x)^{m} d x$, where $m \in N$, then $I_{10}+10 I_{9}$ is equal to -

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

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

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?

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

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

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

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

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

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

4(x+(π)/(6))\cos2x((5π)/(6)+x)dx

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