Recent activity by akash_kumar 9

Which one of the following is the pair of eigenvalues of the matrix $\left[\begin{array}{cc}-3 & 4 \\ 4 & 3\end{array}\right]?$$-7,7$$-5,5$$-4,3$$-3,4$

Which one of the following is the value of $\lim _{x \rightarrow 0} \dfrac{e^{x}-x-1}{\cos x-1}?$$-1$$0$$1$$\infty$

In a group of students, $10$ students like Mathematics, $12$ students like English, $4$ students like both Mathematics and English, and $6$ students like neither Mathemat...

As shown in the figure, circle $C_{1}$ with center $O_{1}$ and radius $r_{1}$ touches the square $V W X Y$ at points $P$ and $Q$ while circle $C_{2}$ with center $O_{2}$ ...

How many $3$-digit numbers can be formed using three distinct single digit prime numbers?$64$$24$$12$$4$

Consider the cube shown below with its $8$ corners labelled $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}$, and $\text{h}.$ The figu...