List of top Mathematics Questions

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 $|z|^2 + |z - 3|^2 + |z - i|^2$ is minimum when $z$ equals.
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 :
The value of $\tan \, 3A- \tan \, 2A- \tan \, A$ is:
The value of $\tan 81^{\circ} -\tan 63^{\circ} -\tan 27^{\circ} + \tan 9^{\circ}$ is equal to
The value of $\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{1}{5}+\tan^{-1}\frac{1}{7}+\tan^{-1}\frac{1}{8}$ is
The value of $tan^{-1}\left(\frac{3}{4}\right)+ tan^{-1}\left(\frac{1}{7}\right)$ is
The value of $\tan \left[2\,\tan^{-1}\frac{1}{5}-\frac{\pi}{4}\right]$ is
The value of $\left[\tan^{-1} \left( \frac{1}{2}\right) + \tan^{-1} \left(\frac{1}{3}\right)\right] $ is :
The value of $\tan^{-1}\frac{1}{2}+\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{7}{8}$ is
The value of $sin50^{\circ} - sin70^{\circ} + sin10^{\circ}$ is equal to
The value of $\sum^{n}_{r =1} \frac{^nP_r}{r!} $ is :
The value of $\sin (\cot^{-1}x)$ is
The value of $sin\left(45^{\circ}+\theta\right)-cos\left(45^{\circ}-\theta\right)$ is
The value of $\sin \left[ n \pi + (-1)^n \frac{\pi}{4} \right], n \in I$ is