List of top Mathematics Questions

What is the value of $\left( \sin 22 \frac{1^{\circ}}{2} + \cos \, 22 \frac{1^{\circ} }{2} \right)^4$ ?

What is the value of $^nC_n$ ?

What is the value of $^nC_0$ ?

What is the value of $^nP_0$?

What is the value of $\cot ( - 870^{\circ})$ ?

What is the reciprocal of $3+\sqrt{7}\,i$ ?

What is the probability that an ordinary year has $53$ Tuesdays?

What is the polar form of the complex number $\left(i^{25}\right)^{3}$ ?

What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these, four cards are of the same suit?

What is the length of the perpendicular from the origin to the plane $ax + by + \sqrt{2ab} z = 1$ ?

What is the equivalent definition of the function given by $f(X) = \begin{cases} 2x , & x \ge 0 \\ 0,& x < 0 \end{cases} $ ?

What is the area of the triangle whose vertices are (0,0,0) (3, 4, 0) and (3, 4, 6) ?

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