List of top Mathematics Questions

$ \displaystyle \lim_{n \to\infty} \left\{ \frac{1}{1-n^{2}} + \frac{2}{1-n^{2}} + .... + \frac{n}{1-n^{2}}\right\}$ is equal to

If x+ | y |= 2y , then y as a function of x is

Three identical dice are rolled. The probability that the same number will appear on each of them, is

$\Bigg(1+cos\frac{\pi}{8}\Bigg)\Bigg(1+cos\frac{3\pi}{8}\Bigg)\Bigg(1+cos\frac{5\pi}{8}\Bigg)\Bigg(1+cos\frac{7\pi}{8}\Bigg)$ is equal to

If x + | y | = 2y, th e n y as a function of x is

If $G(x) = - \sqrt{25 - x^2}$ then $\displaystyle \lim_{x \to 1} \frac{G(x) - G(1)}{x - 1}$ has the value

The value of the integral $ \int^{ \pi / 2 }_ 0 \frac {\sqrt { \cot \, x }}{ \sqrt { \cot \, x } + \sqrt { \tan \, x }} \, dx \, is $

The value of tan $\bigg[cos^{-1}\bigg(\frac{4}{5}\bigg)+tan^{-1}\bigg(\frac{2}{3}\bigg)\bigg]$ is

The equation of the circle passing through (1, 1) and the points of intersection of $x^2 + y^2 + 13x - 3y =0$ and $2x^2 + 2y^2 + 4 x - 7y -2 5 = 0$ is

Fifteen coupons are numbered 1, 2....... 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9, is

The volume of the parallelopiped whose sides are given by $\overrightarrow{OA}=2\widehat{i}-3\widehat{j},\overrightarrow{OB}=\widehat{i}+\widehat{j}-\widehat{k},\overrightarrow{OC}=3\widehat{i}-\widehat{k}$ is

The domain of definition of the function $y = \frac{1}{\log{10} ( 1 -x)} + \sqrt{x + 2}$ is

Which of the following functions is periodic?

The centre of the circle passing through the point (0, 1)and touching the curve $y = x^2 at (2,4)$ is

AB is a diameter of a circle and C is any point on the circumference of the circle. Then,

The largest interval for which $ x^{12} - x^9 + x^4 - x + 1 > 0 $ is

There exist a function f (x), satisfying $f (0) = 1, f'(0) = -1, f (x) > 0$ for all x, and

The area bounded by the curves y = f (x), the X-axis and the ordinates x = 1 and x = b is (b - 1 ) sin (3b + 4). Then, f (x) is equal to

If A and B are two independent events such that $P(A) > 0,$ and $P(B)\ne 1$, then $P(\overline{A}/ \overline{B})$ is equal to

The scalar $\overrightarrow{A}.[(\overrightarrow{B}+\overrightarrow{C})\times(\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C})]$ eqy=ual

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is

The value of the definite integral $\int _0^1 (1+e^{-x^2}) dx \, is$

The equation $\frac{x^2}{1-r}-\frac{y^2}{1+r}=1,|r|<1$ represents

Ten different letters of an alphabet are given, Words with five letters are formed from these given letters. The number of words which have at least one of their letter repeated is

The value of the expression \(^{47}C_4+ \displaystyle \sum^5_{j = 1} , ^{52-j}C_3\) is