List of top Mathematics Questions

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

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

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

If $E_1, E_2, E_3, E_4$ are mutually exclusive and exhaustive events with respective probabilities $p_1, p_2, p_3$ and $p_4$ , then which of the following is possible?

If $E$ and $F$ are events such that $0 < P(F) < 1$, then

If $\displaystyle\lim_{x \to 5} \frac{x^k - 5^k}{x - 5} = 500$ then k is equal to :

If $cot \left(cos^{-1}\, x\right) = sec \left(tan^{-1} \frac{a}{\sqrt{b^{2} - a^{2}}}\right)$, then $x$ is equal to

If cos $\alpha$, cos $\beta$, cos $\gamma$, are direction cosine of a line then value of $\sin^2 \, \alpha + \sin^2 \, \beta + \sin^2 \gamma$ is:

If $\cos \, T = \frac{3}{5}$ and if $\sin \, R = \frac{8}{17}$, where T is in the fourth quadrant and R is in the second quadrant, then cos (T - R) is equal to:

If $cosec \theta - \cot \, \theta = q$, then the value of $\cot \, \theta$ is:

If $(\cos^{-1}x)^2-(\sin^{-1}x)^2>0$, then

If B is an invertible matrix and A is a matrix, then

If $\bar{x}$ is the mean of $x_1, x_2, ........, x_n$ then for $a \neq 0$, the mean of $ax_1,ax_2 , .....,ax_n , \frac{x_1}{a} , \frac{x_2}{a} , ...... , \frac{x_n}{a}$is