List of top Mathematics Questions

The value of $\iint_S \cos(x) \sin(y) \, dx \, dy$ is, where $S$ is $\left[0, \frac{\pi}{2}\right] \times \left[0, \frac{\pi}{2}\right]$

If $f'(z) = 0$ everywhere in a connected open set $G \subset \mathbb{C}$, then $f(z)$ is

Which of the following function satisfies Cauchy-Riemann equations:

Every bounded entire function is constant. This theorem is known as:

Which of the following function is analytic on $\mathbb{C}$

If $f(z) = \frac{z}{\bar{z}}$, then $\lim_{z \to 0} f(z)$

Let $A = \{1, 2, 3\}$ and $B = \{a, b\}$ then number of relations from set $A$ to set $B$ are

Let $A$ and $B$ be two sets having $m$ and $n$ elements respectively, then total number of functions from $A$ to $B$ are

Which of the following set is open in the real line $\mathbb{R}$?

Which of the following is a disconnected subset of the real line $\mathbb{R}$?

$\lim_{n \to \infty} \frac{1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \dots + \frac{1}{n}}{n}$ is

Let $\langle x_n \rangle$ be a sequence which is given by $x_n = \frac{5^n}{n!}$, then

Let $f : \mathbb{R} \to \mathbb{R}$ be defined by \[ f(x) = \begin{cases} \frac{|x-4|}{x-4}, & x \neq 4 0, & x = 4 \end{cases} \] then $\lim_{x \to 4} f(x)$ is

Which of the following function satisfies hypotheses and the conclusion of the Lagrange Mean Value Theorem

If $W_1$ and $W_2$ are finite dimensional subspaces of a vector space $V$, then:

If $p > 0$, then $\lim_{n \to \infty} \sqrt[n]{p}$ :

If $A$ is a null matrix then

Let $A$ be a symmetric matrix, then

Diagonal elements of a skew-Hermitian matrix are:

The generators of the set of integers $\mathbb{Z}$ under addition is:

The non-trivial solutions of the equations:
\[ x + y - 6z = 0 \] \[ -3x + y + 2z = 0 \] \[ x - y + 2z = 0 \]

Which of the following set forms a group under multiplication:

The general solution of the differential equation \[ (4xy^2-2xy+2x^2y^2-x^2y)\,dx=dy \] is

The area (in sq. units) of the region bounded by \[ x=0,\quad x=\frac{\pi}{2}, \] \[ y=0,\quad y=\cos x,\quad \text{and}\quad y=\tan x \] is

The general solution of the differential equation \[ y(2x+y)\,dx=x(x+y)\,dy \] is