List of top Mathematics Questions

Let $A$ and $B$ be two event such that $P\left(A\right) = \frac{3}{8}, P\left(B\right) = \frac{5}{8} $ and $P\left(A\cup B\right) =\frac{3}{4}$. then $P \left(A|B\right)\cdot P\left(A'|B\right)$ is equal to

Let $A=(a_{ij})_{m\times n}$ be a matrix such that $a_{ij}=1$ for all I, j. Then

Let A and B be two matrices then (AB)' equals:

Let $\overrightarrow{a} $ and $\overrightarrow{b} $ be two unit vectors. If the vectors $\overrightarrow{c} =\overrightarrow{a}+2\,\overrightarrow{b} $ and $\overrightarrow{d} =5\,\overrightarrow{a}-4\,\overrightarrow{b} $ are perpendicular to each other, then the angle between $\overrightarrow{a} $ and $\overrightarrow{b} $ is .

Let $A = \{a_1, a_2\}$ and $B = \{b_1, b_2\}$, then the number of relations from $A$ to $B$ is

Let $a_1,a_2,a_3,a_4$ and $a_5$ be such that $a_1,a_2$ and$ a_3$ are in A.P., $a_2,a_3$ and $a_4$ are in G.P. and $a_3, a_4$ and $a_5$ are in H.P. Then, $a_1,a_3$ and $a_5$ are in

Let $a_1, a_2, a_3,$ ...........be the sequence, then the sum expressed as $a_1 + a_2 + a_3 + ...... + a_n$ is called ........

Let $A = \{1, 3, 5, 7, 9, 11\}$, then number of subsets of $A$ is equal to

Let A = {1, 2, 3, 4, 5} and the functions f :A $\to$ A and g:A $\to$ A be defined by f (1) = 3, f (2) = 5, f (3) = 3, f (4) = 1, f (5) = 2; g (1) = 4, g (2) = 1, g (3) = 1, g (4) = 2, g (5) = 3. Then

Length of intercept made by the circle $x^{2} + y^{2} - 16x + 4y - 36 = 0$ on $x$-axis is

Let $A=\begin{bmatrix}1&2\\ -5&1\end{bmatrix} $and$ A^{1} = xA + yI$, then the values of $x$ and $y$ respectively are

Let $A = { 1,2,3,4}$ and $B = {2,3,4,5,6 }$ then $A \Delta B$ is equal to

$l,m,n$ the real, $l\, \ne\, m$, roots of the equation $(l -m) x^2- 5(l + m)x -2(l- m) = 0$ are.

L.P.P. has constraints of

"It is raining and weather is cold." The negation of the statement is

IQ of a person is given by the formula $IQ=\frac{MA}{CA}\times100$ where, MA is mental age and CA is chronological age. If $80 \le IQ \le 140$ for a group of 12 years children, then the range of their mental age is

Inverse of a diagonal matrix (if it exists) is a

$\int _{\pi/3}^{\pi/3} \frac {x \sin x}{\cos^2x} dx $ is equal to

$\int sin^{-1} x dx$ is equal to

$ \int tan^{-1} \sqrt{x}\,dx $ is equal to

$\int\limits_{-\pi/4}^{\pi/4}\frac{e^x\,\sec^2x\,dx}{e^{2x}-1}$ is equal to

$\int_{\log\frac{1} {2}} ^{\log2} \, \sin (\frac {e^x-1} {e^x+1})dx$ is equal to

$ \int \limits_1^3|(2-x) \log x|dx $ is equal to

$ \int\limits_{2-a}^{2+a} f\left(x\right) dx $ is equal to (where $f\left(2 - a\right)=f\left(2 + a\right) \forall a\in R$)

$\int\limits_{0}^{\pi}\pi f(\sin\,x)dx$ is equal to