List of top Mathematics Questions

The area enclosed between the curve $ y^2 = 4x, \quad \text{and the line } y = x \text{ is} $
The value of $ \int_0^{2\pi} \sqrt{1 + \sin^2 \frac{x}{2}} \, dx \text{ is} $
If $ \int_0^{2a} f(x) \, dx = 2 \int_0^a f(x) \, dx, \text{ then} $
The value of $ \int_0^{\frac{\pi}{2}} \frac{\tan x}{\tan x + \cot x} \, dx \text{ is} $
The integral $ \int \sqrt{x^2 + a^2} \, dx $ is equal to
The domain of the function $ \sin^{-1} x $ is
Let $ f(x) = x^3 - 6x^2 + 9x + 8 $, then $ f(x) $ is decreasing in
The derivative of $ \frac{d}{dx} \left( x \sqrt{a^2} - x^2 + a^2 \sin^{-1} \left( \frac{x}{a} \right) \right) \text{ is equal to} $
The function $ f(x) = 2 + 4x^2 + 6x^4 + 8x^6 $ has
The derivative of $ \frac{d}{dx} \left( \tan^{-1} \left( \frac{3x - x^3}{1 - 3x^2} \right) \right) \text{ is equal to} $
The limit $ \lim_{x \to 0} \frac{5^x + 4^x}{4^x - 3^x} $ is equal to
The limit $ \lim_{x \to 0} \left( \frac{\tan x - x}{x} \right) \cdot \left( \sin \frac{1}{x} \right) $ is equal to
If a matrix $ A $ is symmetric as well as skew symmetric then $ A $ is
The system of linear equations $ x + y + z = 2, \quad 2x + y - 2 = 3, \quad 3x + 2y + kz = 4 \text{ has a unique solution if} $
The derivative of $ f(x) = |x| $ at $ x = 0 $ is
For the positive integer $ n $, $ C_1^{n} + C_2^{n} + C_3^{n} + ... + C_n^{n} \text{ is equal to} $
If $A = \left(\begin{array}{ccc} 2 & 0 & 0 \\ 0 & \cos x & \sin x \\ 0 & -\sin x & \cos x \end{array}\right)$, then $\text{Adj}(A)^{-1}$
The term independent of $ x $ in the expansion of $ \left( x - \frac{3}{x^2} \right)^{18} $
If $a^2 + b^2 + c^2 = 0$ and $$\begin{vmatrix} b^2+c^2 & ab & ac \\ ab & c^2+a^2 & bc \\ ac & bc & a^2+b^2 \end{vmatrix}=ka^2b^2c^2$$ then k is equal to
The solution of the inequality $ \frac{1}{2x - 5} > 0 $ is
If $ 2 < x < 3 $, then
"The maximum or the minimum of the objectives function occurs only at the corners points of the feasible region". This theorem is known as fundamental theorem of
The value of $ n $, for which $ \frac{a^{n+1} + b^{n+1}}{a^n + b^n} $ is the A.M. between $ a $ and $ b $, is
The conjugate complex number of $ \frac{2 - i}{1 - 2i^2} $
The maximum value of $ P = 8x + 3y $, subject to the constraints $ x + y \leq 6, x \geq 0, y \geq 0 $, is