List of top 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?
Trans-esterification is a reaction between
Which of the following compound(s) is/are chiral?
What is the integrated rate equation for a first-order reaction?
The manifestation of the band structure in solids is due to which of the following?
Which among the following is denoted by $ \delta $?
A current-carrying rectangular coil placed in a uniform magnetic field. In which orientation will the coil rotate?
Which of the following factors is the self-inductance associated with a coil independent of?
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
Select the correct order of steps in which a working substance (gas) goes through in a refrigerator.