List of top Mathematics Questions

The number of binary operations that can be defined on a set of $2$ elements is

The probability of choosing at random a number that is divisible by 6 or 8 from among 1 to 90 is equal to :

The probability of a certain event is

What is the image of the point (2, 3) in the line y = - x ?

The maximum value of sin $\theta $ cos $\theta$ is

Two matrices A and B are multiplicative inverse of each other only if

If (a, b), (c, d) and (a - c, b - d) are collinear, then which one of the following is correct ?

Consider the following statement: "The mean of a binomial distribution is 3 and variance is 4." Which of the following is correct regarding this statement?

If $x > 1, y > 1, z > 1$ are in $G.P.$ then $\frac{1}{1+log\,x}, \frac{1}{1+log\,y}, \frac{1}{1+log\,z}$ are in :

$\displaystyle\lim _{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^7}{\sqrt{2}-\sqrt{2} \sin 2 x}$ is equal to

$a + ib < c + id$ is meaningful only when

The coefficient of $x^n$ in the polynomial $\left(x+^{n}C_{0}\right)\left(x+3. ^{n}C_{1}\right)\left(x+5. ^{n}C_{2}\right) .... \left(x+\left(2n+1\right)^{n}C_{n}\right)$ is

The system of equations $2x + 3y = 7\:\: , 14x + 21y = 49$ has

Two lines, which do not lie in the same plane, are called

Two ships $A$ and $B$ are sailing straight away from a fixed point $O$ along routes such that $?\,AOB$ is always $120^{\circ}$. At a certain instance, $OA = 8\, km, OB = 6\, km$ and the ship $A$ is sailing at the rate of $20 km/hr$ while the ship $B$ sailing at the rate of $30 km/hr$. Then the distance between $A$ and $B$ is changing at the rate (in km/hr) :

The subtangent, ordinate and subnormal to the parabola $y^2= 4ax$ at a point (different from the Origin) are in

The resultant of two vectors, 3 unit along east and 4 unit along north is

The real part of $( {1 - cos \, \theta + i \, sin \, \theta} )^{-1} $ is

The real values of $x$ and $y$ for which the following equality hold, are respectively $(x^{4}+2xi)-(3x^{2}+iy)=(3-5i)+(1+2iy)$

The greatest value of $f(x) = \cos \, (xe^{(x)} + 7x^2 - 3x),x \in [-1, \infty )$ is :

The graph of the function $\cos x \cos (x + 2) - \cos^2 (x + 1)$ is

The general value of $\theta$ satisfying the equation $2 \sin^2\theta - 3 \sin \theta -2 = 0$ is

The formula $2\,\sin^{-1}x=\sin^{-1}(2x\sqrt{1-x^2})$ holds for

The equation of the line in vector and cartesian form that passes through the point with position vector $2\hat{i}-\hat{j}+4\hat{k}$ and is in the direction $\hat{i}-2\hat{j}+\hat{k}$ are