List of top Mathematics Questions

Let f and g be functions from the interval $[0, \infty)$ to the interval $[0, \infty)$,f being an increasing and g being a decreasing function. If f{g(0)} = 0 then

Let $B = 2 \, \sin^2 \, x - \cos \, 2x$, then

Let $F_1$ be the set of parallelograms, $F_2$ the set of rectangles, $F_3$ the set of rhombuses, $F_4$ the set of squares and $F_5$ the set of trapeziums in the plane. Then $F_1$ may be equal to

Let $ { \frac{C}{5} = \frac{F - 32}{9}}$. If C lies between 10 and 20, then :

Let a, b, c are three non-coplanar vectors such that $r_{1}=a-b+c, r_{2}=b+c-a, r_{3}=c+a+b,$ $r=2a-3b+4c. If \, r=\lambda_{1}r_{1}+\lambda_{2}r_{2}+\lambda_{3}r_{3}, $then

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