List of top Mathematics Questions asked in JKCET

If the line $ x - 1 = 0 $ is the direction of the parabola $ y^2 - kn + 8 = 0 $, then one of the values of $ k $ is
The inclination of the straight line passing through the point (-3, 6) and the mid point of the line joining the points (4,-5) and (-2,9) is
The coordinates of the foot of the perpendicular from $ (a, 0) $ on the line $ y = mx + \frac{a}{m} $ are
The points $ (-a, -b), (0, 0), (a, b), \text{ and } (a^2, ab) $ are
The area enclosed between the curve $ y^2 = 4x, \quad \text{and the line } y = x \text{ is} $
If $ \int_0^{2a} f(x) \, dx = 2 \int_0^a f(x) \, dx, \text{ then} $
The integral $ \int \sqrt{x^2 + a^2} \, dx $ is equal to
The value of $ \int_0^{\frac{\pi}{2}} \frac{\tan x}{\tan x + \cot x} \, dx \text{ is} $
The value of $ \int_0^{2\pi} \sqrt{1 + \sin^2 \frac{x}{2}} \, dx \text{ is} $
The domain of the function $ \sin^{-1} x $ is
The function $ f(x) = 2 + 4x^2 + 6x^4 + 8x^6 $ has
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} $
If a matrix $ A $ is symmetric as well as skew symmetric then $ A $ is
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} $
The term independent of $ x $ in the expansion of $ \left( x - \frac{3}{x^2} \right)^{18} $
5 books in Math and 3 books in Physics are placed on a shelf so that the books on the same subject always remain together. The possible arrangements are
If $A = \left(\begin{array}{ccc} 2 & 0 & 0 \\ 0 & \cos x & \sin x \\ 0 & -\sin x & \cos x \end{array}\right)$, then $\text{Adj}(A)^{-1}$
For the positive integer $ n $, $ C_1^{n} + C_2^{n} + C_3^{n} + ... + C_n^{n} \text{ is equal to} $
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