List of top Mathematics Questions

Differential co-efficient of $\log_{10} x $ w.r.t. $log_x 10$ is

Derivative of the function $f(x) = log_5(log_7x)$, $x > 7$ is

Derivative of $\sec^{-1} \left( \frac{1}{2x^2 + 1 } \right)$ w.r.t. $\sqrt{ 1 + 3x} $ at $x = - \frac{1}{3}$ is

Derivative of the function $f(x) = 7x^{-3} $ is

$\Delta =\begin{vmatrix} sin^2x & cos^2x & 1 \\[0.3em] cos^2x &sin^2x & 1 \\[0.3em] -10 & 12& 2 \end{vmatrix}$

$\frac{d}{dx}\left\{cosec^{-1}\left(\frac{1+x^{2}}{2x}\right)\right\}$ is equal to

$\frac{d}{dx}\left(tan^{-1}\left(\frac{\sqrt{x}-\sqrt{a}}{1+\sqrt{xa}}\right)\right)$, $x$, $a > 0$, is

If $ lim_{ x \to 0 } [ 1 + x \, log \, (1 + b^2) ]^{\frac{1}{x}} = 2 b sin^2 \, \theta, b > 0 \, and \, \theta \in ( - \pi , \pi), $ then the value of $ \theta $ is

$\frac{d^{2}x}{dy^{2}} $ equals :

$\cos^2 \, 1^\circ + cos^2 2^0 + cos^2 \, 3^0 + ... + \cos^2 \, 90^\circ$ =

$\cos \theta .\cos(90 - \theta) - \sin \theta \sin (90 - \theta)$ equals:

$cos[tan^{-1}\{sin(cot^{-1}x)\}]$ is equal to

$\cos^{-1}(\cos\,x)=x$ is satisfied by

Convert $240^{\circ}$ into radian.

Convert $40^{\circ}20'$ into radian measure.

Convert $6$ radians into degree measure.

Consider $ {\frac{x}{2} + \frac{y}{4} \geq 1 }$ and $ {\frac{x}{3} + \frac{y}{2} \leq 1 , x , y \geq 0 }$ Then number of possible solutions are :

Consider the system of linear equations $ x_1+2x_2+x_3=3\\[0.3em] 2x_1+3x_2+x_3=3 \\[0.3em]3x_1+5x_2+2x_3=1 $ The system has

Consider the following statements : (A) Mode can be computed from histogram (B) Median is not independent of change of scale (C) Variance is independent of change of origin and scale. Which of these is / are correct ?