List of top Mathematics Questions

If an event has more than one sample point, then it is called a/an______.

If $b^2 - 4ac = 0$, $a > 0$, then the domain of the function $y = log(ax^3 + (a + b)x^2 + (b + c)x + c)$ is

If $?

If an angle $\theta$ is divided into 2 parts A and B such that $A - B = k$ and $A + B = \theta$ and tan $A : tan \,B = k :\, 1$, then the value of sin k is :

If Amp $( \frac {z-1} {z+1})= \frac {\pi} {3}$, then $z$ represents a point on

If $aN = {ax : x \in N}$ and $bN \cap cN = dN$, where $b,\, c \in N$ are relatively prime, then

If $\alpha , \beta $ are complementary angles, then $\cos^2 \, \alpha +\cos^2 \,\beta $ is equal to

If all permutations of the letters of the word are arranged in the order as in a dictionary, what is the $49^{th}$ word?

If $\alpha \,,\beta,\,\gamma\,$ are the angles which a half ray makes with the positive directions of the axes, then $\sin^2\alpha \,,\sin^2\beta,\,\sin^2\gamma\,$ is equal to

If $\alpha$ and $\beta$ are the roots of the equation $x^{2} + 2x + 4 = 0$, then $\frac{1}{\alpha^{3}}+\frac{1}{\beta^{3}}$ is equal to

If $AB = A$ and $BA = B$, then $B^2$ is equal to

If $ABCDEF$ is a regular hexagon, then $\overrightarrow{AD} + \overrightarrow{EB} + \overrightarrow{FC}$ is equal to

If $ABCD$ is a cyclic quadrilateral then $\cos(180? +A)+ \cos(180? - B) + \cos(180? - C) - \sin(90? - D) =$

If $a^x = b^y = c^z$ and $a, b, c $ are in G.P. then $ x, y, z $ are in

If $A = \{ x : x^2 - 3x + 2 = 0 \}$ , and R is a universal relation on A, then R is

If $A = \{(x, y) : x^2 + y^2 = 25\}$ and $B = \{(x, y) : x^2 + 16y^2 = 144\}$ then $A \cap B$ contains

If a variable point P on an ellipse of eccentricity e is joined to the foci $S_1$ and $S_2$ then the incentre of the triangle $PS_1S_2$ lies on

If $A^T, B^T$ are transpose matrices of the square matrices A, B respectively, then$(AB)^T$ is equal to

If a relation $R$ on the set $\{1$, $2$, $3\}$ be defined by $R = \{(1$, $2)\}$, then $R$ is

If a line makes angles 60?, 45?, 45? and $\theta$ with the four diagonals of a cube then $sin^2 \, \theta = $

If a letter is chosen at random from the letter of English alphabet, then the probability that it is a letter of the word ??ELHI?

If a line makes an angle a with the positive direction of x-axis, then the slope of the line is given by :

If $A$ is the void set $\phi$, then $P\left(A\right)$ has just one element $\phi$ i.e. $P[\phi] = \left\{\phi\right\}$. So number of elements of $P\left[P\left(P\left(\phi\right)\right)\right]$ is

If A is symmetric as well as skew-symmetric matrix, then A is

If A is a square matrix, then $AA^T$ is a