List of top Mathematics Questions asked in BITSAT

The sum of the series $\log _{4} 2-\log _{8} 2+\log _{16} 2-\ldots$ is

The length of the latus rectum of the parabola $169\left[(x-1)^{2}+(y-3)^{2}\right]=(5 x-12 y+ 17) ^{2}$ is:

Equation of the bisector of the acute angle between lines $3x + 4y + 5 = 0$ and $12x -5y - 7 = 0$ is

$\displaystyle\lim_{x\to0} \frac{\sin x}{x}$ is equal to

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

If $2 i + j - k$ and $i -4 j +\lambda k$ are perpendicular to each other, then $\lambda$ is equal to:

$\frac{d}{dx} (x^x)$ 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:

If $A = \begin{bmatrix}1&3\\ 3&2\\ 2&5\end{bmatrix}$ and $ B = \begin{bmatrix}-1&-2\\ 0&5\\ 3&1\end{bmatrix} $ and $A + B - D = 0$ (zero matrix), then $D$ matrix will be -

The slope of the tangent to the hyperbola $2x^2 - 3y^2 = 6$ at $(3, 2)$ is

The solution of differential equation $2x \frac{dy}{dx} - y = 3$ represents a family of

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

If $f(x)=\frac{x}{\sqrt{1+x^{2}}}$, then (fof of) ( $x$ ) is

The value of $\begin{vmatrix}1&2&3\\ -4&3&6\\ 2&-7&9\end{vmatrix} $ is

With $17$ consonants and $5$ vowels the number of words of four letters that can be formed having two different vowels in the middle and one consonant, repeated or different at each end is

Which one of the following is the unit vector perpendicular to both $\vec{a}=-\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$ ?

Mean of $25$ observations was found to be $78.4$. But later on it was found that $96$ was misread $69$. The correct mean is

In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be $70$ then the number of diagonals of the polygon is

If $m$ arithmetic means are inserted between $1$ and $31$ so that the ratio of the $7^{th}$ and $(m - 1)^{th}$ means is $5 : 9$, then find the value of m.

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 value of $\cos^{-1}x + \cos^{-1} \left(\frac{x}{2} + \frac{1}{2} \sqrt{3-3x^{2}}\right) ; \frac{1}{2} \le x \le 1 $ is

$\frac{\cos \, x}{\cos \, x -2y} = \lambda \, \Rightarrow \, \tan \, x - y$ is equal to

The coefficient of $x^{24}$ in the expansion of $(1 + x^2)^{12} (1 + x^{12}) (1 + x^{24})$ is

$x \in R : \frac{2x -1}{x^3 + 4x^2 + 3x} \in R$ Equals