List of top Mathematics Questions asked in BITSAT

Let $ a_1, a_2, \dots, a_{40} $ be in AP and $ h_1, h_2, \dots, h_{10} $ be in HP. If $ a_1 = h_1 = 2 $ and $ a_{10} = h_{10} = 3 $, then $ a_4 h_7 $ is:

The value of \[ \lim_{x \to 0} \frac{1 - \cos(1 - \cos x)}{x^4} \] is:

If $ |w| = 2 $, then the set of points $ z = w - \frac{1}{w} $ is contained in or equal to the set of points $ z $ satisfying:

If $ A = \{ x : x { is a multiple of 4} \} $ and $ B = \{ x : x { is a multiple of 6} \} $, then $ A \cap B $ consists of multiples of:

If $ \alpha $ be a root of the equation $ 4x^2 + 2x - 1 = 0 $, then the other root of the equation is

If \[ \left[ \begin{array}{cc} 1 & -\tan(\theta) \\ \tan(\theta) & 1 \end{array} \right] \left[ \begin{array}{cc} 1 & \tan(\theta) \\ -\tan(\theta) & 1 \end{array} \right]^{-1} = \left[ \begin{array}{cc} a & -b \\ b & a \end{array} \right], \] then:

The area enclosed by the curves $ y = \sin x + \cos x $ { and } $ y = | \cos x - \sin x | $ { over the interval} $ \left[ 0, \frac{\pi}{2} \right] $ { is:}

If $ \alpha, \beta, \gamma \in [0, \pi] $ and if $ \alpha, \beta, \gamma $ are in AP, then \[ \frac{\sin \alpha - \sin \gamma}{\cos \gamma - \cos \alpha} \] {is equal to:}

With the usual notation $\displaystyle \int_1^2 ([x^2]-[x]^2)dx$ is equal to

A bag contains $2n$ coins out of which $n-1$ are unfair with heads on both sides and the remaining are fair. One coin is picked from the bag at random and tossed. If the probability that head falls in the toss is $\frac{41}{56}$, then the number of unfair coins in the bag is

The coefficient of $x^2$ term in the binomial expansion of $\left(\frac{1}{3}x^{1/2}+x^{-1/4}\right)^{10}$ is :

What is the slope of the normal at the point (at, 2at) of the parabola y = 4ax ?

If $a_{1}, a_{2}, a_{3}, \ldots, a_{n}$ are in A.P. where $a_{i}>0$ for all $i$, then $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\ldots .+$ $\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_{n}}}$ is?

The locus of the mid-point of a chord of the circle $x^2+ y^2 = 4$, which subtends a right angle at the origin is

If $f(x)=3 x^{4}+4 x^{3}-12 x^{2}+12,$ then f(x) is

Equation of two straight lines are $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-4}{5}=\frac{y-1}{2}=z$ .Then

Consider $\frac{x}{2}+\frac{y}{4} \ge1,$ and $\frac{x}{3}+\frac{y}{4} \le1, x, y \ge0.$ Then number of possible solutions are :

The equation of the curve passing through the point $\left(a, -\frac{1}{a}\right)$ and satisfying the differential equation $y-x \frac{dy}{dx}=a\left(y^{2}+\frac{dy}{dx}\right)$ is

In order to solve the differential equation $x \cos x \frac{d y}{d x}+y(x \sin x+\cos x)=1$ the integrating factor is:

For the following feasible region, the linear constraints are