List of top Mathematics Questions asked in JKCET

If $ \left| \begin{matrix} x+7 & 5 \\ x+-3 & 3 \\ \end{matrix} \right|=26, $ then x is equal to

The value of $ \cos \left( \frac{3\pi }{2}+x \right)\,\cos \,(2\pi +x)\left\{ \cot \left( \frac{3\pi }{2}-x \right)+\cot \,(2\pi +x) \right\} $ is

How many four digit numbers are there with distinct digits?

There are $12$ points in a plane. The number of straight lines joining any two of them, when $3$ of them are collinear, is

The cartesian product $ A\times A $ has $9$ elements among which are found $ (-1,0) $ and $ (0,1), $ then set $A$ = ?

If $\begin{bmatrix} x+7 & 5 \\[0.3em] x-3 & 3 \end{bmatrix}=26,$ then $x$ =

Which of the following is not a function?

A survey shows that $63\%$ of the Americans like cheese where as $76\%$ like apples. If $x\%$ of the Americans like both cheese and apples, then the value of $x$ is

If $ A=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right], $ then $ (A-A') $ is equal to (where, $A'$ is transpose of matrix $A$)

The value of $ \int_{0}^{\pi /2}{\frac{dx}{1+\tan x}} $ is

The value of $ \left| \begin{matrix} {{a}^{2}} & 2ab & {{b}^{2}} \\ {{b}^{2}} & {{a}^{2}} & 2ab \\ 2ab & {{b}^{2}} & {{a}^{2}} \\ \end{matrix} \right| $ is

If $ \theta =\frac{\pi }{{{2}^{n}}+1}, $ then the value of $ {{2}^{n}}\cos \theta \,\cos \,2\theta \,\cos \,{{2}^{2}}\theta .....\cos {{2}^{n-1}}\theta $ is

$ \underset{x\to 0}{\mathop{\lim }}\,\,{{\left\{ \tan \left( \frac{\pi }{4}+x \right) \right\}}^{1/x}} $ is equal to

Using the principal values, the value of $ {{\sin }^{-1}}\left\{ \sin \frac{5\pi }{6} \right\}+{{\tan }^{-1}}\left\{ \tan \frac{\pi }{6} \right\} $ = ?

The value of $ \frac{d}{dx}[{{x}^{n}}\,{{\log }_{a}}\,x{{e}^{x}}] $ is

If $ {{S}_{n}} $ denotes the sum of first $n$ terms of $A.P.$ $ , $ such that $ \frac{{{S}_{m}}}{{{S}_{n}}}=\frac{{{m}^{2}}}{{{n}^{2}}}, $ then $ \frac{{{a}_{m}}}{{{a}_{n}}} $ is equal to

A bag contains $50$ tickets numbered $1, 2, 3, ...,50$ of which five are drawn at random and arranged in ascending order of magnitude $ ({{x}_{1}}

Five persons entered the lift cabin on the ground floor of an eight floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all $5$ persons leaving at different floors is

For the married couple living in Jammu, the probability that a husband will vote in an election is $ 0.5 $ and the probability that his wife will vote is $ 0.4 $ . The probability that the husband votes, given that his wife also votes is $ 0.7 $ . Then, the probability that husband and wife both will vote is

The sum of the series $ 5-\frac{10}{3}+\frac{20}{9}-\frac{40}{27}+.... $ is equal to

The value of the integral $ \int_{0}^{1}{x{{(1-x)}^{49}}\,dx} $ is equal to

If $ f(x)={{(1+x)}^{n}}, $ then the value of $ f(0)+f'(0)+\frac{f'\,'(0)}{2!}+.....+\frac{{{f}^{(n)}}(0)}{n!} $ is equal to

If $ ^{m+n}P{{ }_{2}}=90 $ and $ ^{m-n}P{{ }_{2}}=30, $ then $ (m,n) $ is given by (where, m and n are positive integers)

Let $ P(x,y) $ be a point on the curve $ {{y}^{2}}=4x $ at which the tangent is perpendicular to the line $ 2x+y=-2. $ Then, the coordinates of the point $P$ are

If the points $ (2a,\,a),\,(a,\,2a) $ and $ (a,\,\,a) $ form a triangle of area $ 32\text{ }sq $ units, then the centroid of the triangle is