List of top Mathematics Questions

Which of the following expressions are meaningfull operations?

Which of the following compound statements is true after writing the component statements of each compound statement?

Which of the following cannot be the probability of an event?

Which of the following are functions ?

What is the value of $\tan^{-1} x + \cot^{-1} x $ ?

What is the value of $\sin \, 10^{\circ} + \sin \, 50^{\circ} - \sin \, 70^{\circ}$ ?

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