List of top Mathematics Questions asked in JKCET

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 the length of a chord of a circle is equal to that of radius of the circle, then the angle subtended in radius, at the centre of the circle by the chord is
Which of the following is a null set?
Which of the following statement is true?
The unit vector perpendicular to each of the vectors $ (2\hat{i} - \hat{j} + \hat{k}) \text{ and } (3\hat{i} + 4\hat{j}) \text{ is} $
The plane $ xoz $ divides the join of $ (1, -1, 5) $ and $ (2, 3, 5) $ in the ratio $ \lambda : 1 $, then $ \lambda $ is
Angle between the line $ \vec{r} = (2\hat{i} - \hat{j} + \hat{k}) + \lambda (-\hat{i} + \hat{j} + \hat{k}) $ and the plane $ \vec{r} \cdot (3\hat{i} + 2\hat{j} - \hat{k}) = 4 $ is
The value of $ k $ so that $ \frac{x-1}{-3} = \frac{y-2}{2k} = \frac{z-3}{2} = \frac{x-1}{3k} = \frac{y-1}{1} = \frac{z-6}{-5} $ may be perpendicular is given by
If A and B are two events and $ P(A \cup B) = \frac{5}{6} $, $ P(A \cap B) = \frac{1}{3} $, $ P(\overline{B}) = \frac{1}{2} $, then A and B are
The order of the differential equation $ \left[ 1 + \left( \frac{dy}{dx} \right)^2 \right]^{3/2} = \frac{d^2y}{dx^2} $ is
The integral $ \int \frac{x e^x}{(1+x)^2} dx $ is equal to
If $ \tan x = \frac{m}{m+1} $, $ \tan \beta = \frac{1}{2m+1} $, then $ (\alpha + \beta) $ is equal to
The value of $ \tan^{-1} \left( \frac{x}{y} \right) - \tan^{-1} \left( \frac{x - y}{x + y} \right) \text{ is} $
The general solution of $ x $ satisfying the equation $ \sqrt{3} \sin x + \cos x = \sqrt{3} $, is given by
If $ \sin(\pi \cos \theta) = \cos(\pi \sin \theta) $, then the value of $ \cos \left( \theta + \frac{\pi}{4} \right) $

Let $f(x) = \frac{1 - \cos{P x}}{x \sin{x}}$ when $ x \neq 0 $ and $ f(0) = \frac{1}{2} $. If $ f $ is continuous at $ x = 0 $, then $ P $ is equal to

There are 15 points in a plane, no three of which are in a straight line, except 6, all of which are in a straight line. The number of straight lines which can be drawn by joining them is

In a G.P. of $ (m + n)^{\text{th}} $ term is $ P $ and the $ (m - n)^{\text{th}} $ term is $ q $, then its $ m^{\text{th}} $ term is

If $ \theta $ is the angle between two vectors $ \vec{a} $ and $ \vec{b} $, then $ | \vec{a} \times \vec{b} | = | \vec{a} \cdot \vec{b} | $ equals to
A die is tossed 5 times, getting an odd number is considered a success. Then the variance of the distribution of number of successes is
The standard deviation of 25 numbers is $ \sigma $. If each of the numbers is increased by 5, then the new standard deviation will be
If $ \vec{a} $ is a non-zero vector and $ k $ is a scalar such that $ |k \vec{a}| = 1 $, then $ k $ is equal to
A bag contains 5 white, 7 red, and 4 black balls. Four balls are drawn one by one with replacement. The chance that at least two balls are black is
If $ P[E_1] = P_1 $ and $ E_1 $ and $ E_2 $ are mutually exclusive, then $ P[\text{neither } E_1 \text{ nor } E_2] $ is equal to
Equation of the ellipse with eccentricity $ \frac{1}{2} $ and foci at $ (\pm 1, 0) $ is