List of top Mathematics Questions asked in JKCET

$ \left| \begin{matrix} 1 & x & y+z \\ 1 & y & z+x \\ 1 & z & x+y \\ \end{matrix} \right| $ is equal to

The standard deviation of the first n natural numbers is

$ \frac{1}{3!}+\frac{2}{5!}+\frac{3}{7!}+... $ is equal to

$ \frac{x-y}{x}+\frac{1}{2}{{\left( \frac{x-y}{x} \right)}^{2}}+\frac{1}{3}{{\left( \frac{x-y}{x} \right)}^{3}}+.... $ =

The solutions of $ x+\sin \,5x=\sin 3x $ in $ \left( 0,\frac{\pi }{2} \right) $ are

If the extremities of a diagonal of a square are $ (1,-2,3) $ and $ (2,-3,5) $ then the length of the side is

If $ P=(0,1,2),\,\,Q=(4,-2,1),O=(0,0,0), $ then $ \angle POQ $ is equal to

Let $A$ be a square matrix and $ {{A}^{T}} $ is its transpose, then $ A+{{A}^{T}} $ is

If $ \alpha ,\beta ,\gamma $ are the roots of the equation $ {{x}^{3}}-7x+7=0, $ then $ \frac{1}{{{\alpha }^{4}}}+\frac{1}{{{\beta }^{4}}}+\frac{1}{{{\gamma }^{4}}} $ is

Through the point $ P(\alpha ,\,\beta ,\,\,\gamma ) $ a plane is drawn at right angles to OP to meet the coordinate axes are A, B,. C respectively. If $ OP=p, $ then equation of plane $ ABC$ is

At $ x=\frac{3}{2} $ the function $ f(x)=\frac{|2x-3|}{2x-3} $ is

If the difference between the roots of $ {{x}^{2}}+ax-b=0 $ is equal to the difference between the roots of $ {{x}^{2}}-px+q=0, $ then $ {{a}^{2}}-{{p}^{2}} $ in terms of $b$ and $q$ is

If $ x\left[ \begin{matrix} -3 \\ 4 \\ \end{matrix} \right]+y\left[ \begin{matrix} 4 \\ 3 \\ \end{matrix} \right]=\left[ \begin{matrix} 10 \\ -5 \\ \end{matrix} \right], $ then

Derivative of $ {{\log }_{10}}\,x $ with respect to $ {{x}^{2}} $ is

If $ \left| \begin{matrix} 1 & 1 & 0 \\ 2 & 0 & 3 \\ 5 & -6 & x \\ \end{matrix} \right|=29, $ then $x$ is

If $ \frac{1+\cos A}{1-\cos A}=\frac{{{m}^{2}}}{{{n}^{2}}}, $ then $tan\, A$ =

$ \underset{x\to 0}{\mathop{\lim }}\,\frac{1}{x}{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right) $ =

$ \int{\frac{1}{1+\cos \,\,ax}}\,\,dx $ is equal to

The direction cosines of two rays $ \overrightarrow{AB} $ and $ \overrightarrow{AC} $ are $ \left( \frac{1}{2},\frac{1}{2},-1 \right) $ and $ \left( \frac{2}{7},\frac{-3}{7},\frac{6}{7} \right). $ The direction ratios of one of the bisectors of angle $ \left( \overrightarrow{AB},\overrightarrow{AC} \right) $ are

The solution of the equation $ 2{{x}^{3}}-{{x}^{2}}-22x-24=0 $ when two of the roots are in the ratio $ 3:4, $ is

The angle between the pair of lines $ ({{x}^{2}}+{{y}^{2}}){{\sin }^{2}}\alpha ={{(x\,\cos \theta -y\,\sin \theta )}^{2}} $ is :

If the foot of the perpendicular from $ (0,0,0) $ to a plane is $ (1,2,2), $ then the equation of the plane is

The value of $ {{\cos }^{2}}\left( \frac{\pi }{4}+\theta \right)-{{\sin }^{2}}\left( \frac{\pi }{4}-\theta \right) $ is

The probability of choosing a number divisible by $6$ or $8$ from among $1$ to $90$ is

When three dice are thrown the probability of getting a $4$ or $5$ so on each of the dice simultaneously is