List of top Mathematics Questions asked in BITSAT

\(\int \frac{e^{x^2}\left(2x+x^{3}\right)}{\left(3+x^{2}\right)^{2}} dx\)  is equal to :

If $ \hat{i} + \hat{j}, \hat{j} + \hat{k}, \hat{i} + \hat{k}$ are the position vectors of the vertices of a triangle $ABC$ taken in order, then $\angle A$ is equal to

If $a, b, c$ are in G.P., then

Eccentricity of ellipse $\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1 $ if it passes through point $(9, 5)$ and $(12, 4)$ is

If $x > 0,$ the $ 1 + \frac{\log_{e^{2}}x}{1!} + \frac{\left(\log_{e^{2}}x\right)^{2}}{2!} + ....=$

Let $y = e^{2x}$ . Then $\left(\frac{d^{2}y}{dx^{2}}\right) \left(\frac{d^{2}x}{dy^{2}}\right) $ is

In how many ways can $12$ gentlemen sit around a round table so that three specified gentlemen are always together?

The number of ways in which first, second and third prizes can be given to $5$ competitors is

$\displaystyle\lim_{x\to0} \sqrt{\frac{x-\sin x}{x+\sin^{2}x}} $ is equal to

If $A = \frac{1}{3} \begin{bmatrix}1&2&2\\ 2&1&-2\\ a&2&b\end{bmatrix} $ is an orthogonal matrix, then

If the constraints in a linear programming problem are changed then

Number of solutions of equation $\sin 9 \theta=\sin \theta$ in the interval $[0,2 \pi]$ is

In a binomial distribution, the mean is $4$ and variance is $3$. Then its mode is :

The sum $1+\frac{1+a}{2!} + \frac{1+a+a^{2}}{3!} + ... \infty $ is equal to

Let A, B, C be finite sets. Suppose that $n(A)=10, n(B)=15, n$ $(C)=20, n(A \cap B)=8$ and $n(B \cap C)=9$. Then the possible value of $n ( A \cup B \cup C )$ is

If $\displaystyle\sum^n_{R = 0} (-1)^r \; \frac{^{n}C_{r}}{^{r+3}C_{r}} = \frac{3}{a+3} $ , then a - n is equal to

If $f\left(x\right) = \cos^{-1} \left[\frac{1-\left(\log x\right)^{2}}{1+\left(\log x\right)^{2}}\right] $ then the value of $f'(e)$ is equal to

$2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-

The equation of one of the common tangents to the parabola $y^{2}=8 x$ and $x^{2}+y^{2}-$

Given the system of straight lines a $(2x + y - 3) + b(3x + 2y - 5) = 0$, the line of the system situated farthest from the point $(4, -3)$ has the equation

An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is

Let $\vec{a}, \vec{b}$ & $\vec{c}$ be non-coplanar unit vectors equally inclined to one another at an acute angle $\theta$. Then $| [ \vec{a} \; \vec{b} \; \vec{c}] |$ in terms of $\theta$ is equal to

If $x$ is real number, then $\frac{x}{x^{2}-5 x+9}$ must lie between

IF $f\left(z\right) = \frac{7-z}{1-z^{2}} $ , where $z = 1 + 2i$, then $|f(z)|$ is equal to :

The length of the semi-latus rectum of an ellipse is one thrid of its major axis, its eccentricity would be