List of top Mathematics Questions

Let $ f(x) = x^3 - 6x^2 + 9x + 8 $, then $ f(x) $ is decreasing in
The derivative of $ \frac{d}{dx} \left( \tan^{-1} \left( \frac{3x - x^3}{1 - 3x^2} \right) \right) \text{ is equal to} $
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 $ f(x) = |x| $ at $ x = 0 $ is
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
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} $
If a matrix $ A $ is symmetric as well as skew symmetric then $ A $ is
For the positive integer $ n $, $ C_1^{n} + C_2^{n} + C_3^{n} + ... + C_n^{n} \text{ is equal to} $
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
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 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
Let $ R $ be a relation on set $ A $ such that $ R = R^{-1} $, then $ R $ is
Let $ R $ be a relation on $ \mathbb{N} $ defined as $ x R y $ iff $ x + 2y = 8 $, the domain of $ R $ is
The maximum value of $ P = 8x + 3y $, subject to the constraints $ x + y \leq 6, x \geq 0, y \geq 0 $, is
The conjugate complex number of $ \frac{2 - i}{1 - 2i^2} $
The value of $ \left( \frac{1 + i\sqrt{3}}{1 - i\sqrt{3}} \right)^6 + \left( \frac{1 - i\sqrt{3}}{1 + i\sqrt{3}} \right)^6 $ is
If $ n(A) = 4 $ and $ n(B) = 2 $, then the number of surjections from A to B is:
Let $ f : x \to y $ be a given function, then $ f^{-1} $ exists if
A box with a square base is to have an open top. The surface area of the box is 147 cm\(^2\). What should its dimensions be in order that the volume is largest?