List of top Mathematics Questions

If $k \le \sin^{-1} x + \cos^{-1} x + \tan^{-1 } x \le K$, then

if $\int\limits_{a}^{b} \frac{x^{n}}{x^{n} + \left(16 - x\right)^{n}} dx = 6$, then

If $\int^{2}_{-3} f\left(x\right)dx = \frac{7}{3} $ and $\int^{9}_{-3} f\left(x\right)dx = - \frac{5}{6} , $ then what is the value of $\int^{9}_{2} f\left(x\right)dx $ ?

If $ \int\frac{dx}{\left(x+2\right)\left(x^{2} +1\right)} = a log\left|1+x^{2}\right| +b tan^{-1} x +\frac{1}{5}log\left|x+2\right|+C$, then

If in a triangle ABC, tanA + tanB + tanC = 6 and tan A tan B = 2, then the triangle is

If in a moderately asymmetrical distribution, mode and mean of the data are 6 $\lambda$. and 9 $\lambda$. respectively, then median is

If $I_1=\int\limits_{e} ^{_e2}\frac{dx}{\log\,x}$ and $I_2=\int\limits_{1} ^{2}\frac{e^x}{x}dx$ , then

If H be the Harmonic mean between a and b, then the value of $\frac{1}{H-a}+ \frac{1}{H-b}$ is

If $h\left(x\right)=\frac{2+x^{2}}{2-x^{2}}$, $h'\left(1\right)=$

If $g(x) = 1 + \sqrt{x}$ and $f [g (x)] = 3 + \sqrt{2} x + x $ , then f(x) =

If $g$ is the inverse function of $f$ and $f '(x) = sin\, x$, then $g '(x)$ is

If $g_1, g_2$ are two geometric means and $a_1$ is the arithmetic mean between two positive numbers, then the value of $\frac{g_{1}^{2}}{g_{2}} + \frac{g_{2}^{2}}{g_{1}} $ is

If for complex numbers $(z_1$ and $ z_2)$ arg $(z_1 - z_2)$ = 0, then $| z_1 - z_2|$ is equal to

If $f (x) = x^2 + 4x - 5$ and $A = \begin{bmatrix}1&2\\ 4&-3\end{bmatrix} $ then f (A) is equal to

If $f(x) = cosx \cdot cos \,2x \cdot cos \,4x \cdot cos \,8x \cdot cos \,16x$, then the value of $f '\left(\frac{\pi}{4}\right)$ is

If $f(x) = 2x + 1$ and $g (x) = x^2 + 1$ then $go(fof)(2) =$

If f (x) = ax + b and g (x) = cx + d, then f {g (x)} = g {f (x)} is equivalent to

If $f : B \to A$ is defined by $f \left(x\right) = \frac{3x+4}{5x-7}$ and $g : A \to B$ is defined by $g \left(x\right) = \frac{7x+4}{5x-3}$, where $A = R - \left\{\frac{3}{5}\right\}$ and $B = R - \left\{\frac{7}{5}\right\}$ and $I_{A}$ is an identity function on A and $I_{B}$ is identity function on B, then

If f : R $\to$ R is defined by f(x) = 3x + |x| , then f(2x) - f (- x) - 6x =

If $f(x + 1) = x^2 - 3x + 2$, then f (x) is equal to:

If $f(1)=1$ and $f(n+1)=2f (n)+1$ if $n \ge1$, then $f(n)$ is equal to

If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is

If $f(0) = 0 = g(0) $ and $f'(0) = 6 = g'(0)$, then $\lim_{x \to 0} \frac{f(x)}{g(x)}$ is given by

If every pair from among the equation $x^2 + px + qr = 0$, $x^2 + qx + rp = 0$ and $x^2 + rx + pq = 0$ has a common root, then the product of three common roots is.

If eight persons are to address a meeting, then the number of ways in which a specified speaker is to speak before another specified speaker is