List of top Mathematics Questions

What is the area of the region bounded by the line 3x - 5y = 15, x =1, x = 3 and x-axis in sq unit ?

What is the angle between the two lines whose direction numbers are $(\sqrt{3} - 1 , - \sqrt{3} - 1 , 4)$ and $( - \sqrt{3} - 1 ,\sqrt{3} - 1 , 4)$ ?

What is $\tan (\cos^{-1} \, x) $ equal to ?

What does the shaded region represent in the figure given below ?

Value of $\sin 12^{\circ}.\sin \, 48^{\circ}.\sin \, 54^{\circ} $ is:

Using elementary transformations, find the inverse of matrix $\begin{bmatrix}-1&1&2\\ 1&2&3\\ 3&1&1\end{bmatrix}.$

$\hat{u} $ and $\hat{v}$ are unit vectors such that $\hat{u}.\hat{v}=0\overrightarrow{r}$ is any vector coplanar with $\hat{u}$ and $\hat{v}$ the magnitude of the vector $\overrightarrow{r}\times(\hat{u}\times\hat{v}$ is

Two unbiased six faced dice are thrown. The probability that the sum of the numbers on their faces is a prime number greater than 5 is

Two spheres of radii 3 and 4 cut orthogonally The radius of common circle is

Two planes $a_1x + b_1y + c_1z + d_1 = 0$ and $a_2x + b_2y + c_2z + d_2 = 0 $ are parallel if :

Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are

Two dice are tossed 6 times. Then the probability that 7 will show an exactly four of the tosses is:

Two dice and two coins are tossed. The probability that both the coins show heads and the sum of the numbers found on the dice is a prime number, is

Two dice are thrown simultaneously. The probability of getting even numbers on both the dice is

Two dice are thrown together. The probability of getting the sum of digits as a multiple of 4 is:

Two coins (a $??, 2$ coin and a $??, 5$ coin) are tossed once. The total number of elements in sample space is

Two balls are drawn one after another (without replacement) from a bag containing $2$ white, $3$ red and $5$ blue balls. What is the probability that atleast one ball is red?

Trace (A') =

Total number of words formed by $2$ vowels and $3$ consonants taken from $4$ vowels and $5$ consonants is equal to

Total number of equivalence relations defined in the set S = {a, b, c } is :

To open a lock, a key is taken out of a collection of n keys at random. If the lock is not opened with this key, it is put back into the collection and another key is tried. The process is repeated again and again. It is given that with only one key in the collection, the lock can be opened, the probability that the lock will open in n trials is

To maximize the objective function $z = 2x + 3y $ under the constraints $x + y \leq 30, x - y \geq 0 , y \leq 12, x \leq 20 , y \geq 3$ and $x ,y \geq 0 $

To derive the tangent formula, the following steps are given: 1. $\tan\left(A + B\right) = \frac{\frac{\sin A \cos B}{\cos A \cos B} + \frac{\cos A \sin B}{\cos A \cos B}}{\frac{\cos A \cos B}{\sin A \sin B} + \frac{\sin A \sin B}{\cos A \cos B}}$ 2. $\tan\left(A + B\right) = \frac{\sin\left(A + B\right)}{\cos\left(A + B\right)} $ 3. $\tan\left(A + B\right) = \frac{\sin A \cos B + \cos A \sin B}{\cos A \cos B - \sin A \sin B}$ 4.$ \tan\left(A + B\right) = \frac{\tan A + \tan B}{1- \tan A \tan B} $ Their correct and proper sequential form to derive the formula is:

Tickets are numbered from 1 to 100. They are well shuffled and a ticket is drawn at random. Probability that the drawn ticket has a number 5 or multiple of 5 is

Three points $(2, -1,3)$, $(3, -5,1)$ and $(-1, 11, 9)$ are