List of top Mathematics Questions

There are $25$ points in a plane, of which $10$ are on the same line. Of the rest, no three are collinear and no two are collinear with any one of the first ten points. The number of different straight lines that can be formed by joining these points is

There are $10$ points in a plane of which $4$ are collinear. The number of quadrilaterals that can be formed is

There are 10 true-false questions in a examination. Then these questions can be answered in:

The weighted mean of first n natural numbers, whose weights are proportional to the corresponding numbers, is

The volume V and depth x of water in a vessl are connected by the relation $V = 5x - \frac{x^2}{6}$ and the volume of water is increasing , at the rate of $5 \, cm^3/sec$, when x = 2 cm. The rate at which the depth of water is increasing, is

The volume of the tetrahedron whose coterminous edges are $ \hat{j}+\hat{k}$, $ \hat{i}+\hat{k}$, $\hat{i}+\hat{j}$ is

The variance of first 25 natural numbers is

The variance of first n natural numbers is :

The variance of the numbers $2, 3, 11 $ and $x$ is $\frac{49}{4}$. Find the value of $x$.

The variance of random variable $X$ i.e. $\sigma^{2}_{x}$ or var$(X)$ is equal to

The values of the determinant $ \begin{vmatrix} x+1& x+2 &x+4 \\[0.3em] x+3 & x+5 & x+8 & \\[0.3em] x+7 & x+10 & x+14 \end{vmatrix}$

The values of x satisfying $| x - 4 | + | x - 9 | = 5$, is :

The value of $|z|^2 + |z - 3|^2 + |z - i|^2$ is minimum when $z$ equals.

The value of x, so that the matrix $=\begin{bmatrix} x+a &b& c \\[0.3em] a& x+b & c \\[0.3em] a & b & x+c \end{bmatrix}$ has rank 3 , is

The value of x where $\begin{bmatrix}6&x-2\\ 3&x\end{bmatrix}$, has no inverse is :

The value of the sum $(\,^nC_1)^2+(\,^nC_2)^2+(\,^nC_3)^2+...+(\,^nC_n)^2$ is

The value of the term independent of x in the expansion of $\left(1+\frac{x}{2}-\frac{2}{x}\right)^{4}, x \ne 0$ is equal to

The value of the expression $\frac{1}{2} ( \sqrt{3} \sin 75^{\circ} - \cos \, 75^{\circ} )$ is :

The value of the expression tan 1$^\circ$ tan 2$^\circ$ tan 3$^\circ$ tan 4$^\circ$ ______tan 87$^\circ$ tan 88$\circ$ tan 89$^\circ$ is equal to

The value of the determinant of $\begin{bmatrix}x+1&x+2&x+4\\ x+3 &x+5&x+8\\ x+7 &x+10&x+14\end{bmatrix}$ is :

The value of the definite integral $\int\limits_{0}^{1}\frac{x\,dx}{x^3+16}$ lies in the interval [a, h], The smallest such interval is

The value of $tan3A - tan2A - tanA$ is equal to

The value of $\frac{\tan \, x}{\tan \, 3x}$ wherever defined never lies between

The value of tan $(\frac {\pi} {4} + \theta)$ tan $(\frac {3\pi} {4} + \theta)$

The value of $\tan \, 20^{\circ} + 2 \, \tan \, 50^{\circ} - \tan \, 70^{\circ} $ is :