List of top Mathematics Questions asked in JKCET

The equation of the line passing through $ (0,0) $ and intersection of $ 3x-4y=2 $ and $ x+2y=-4 $ is

The length of the perpendicular distance of the point $ (-1,\,4,\,0) $ from the line $ \frac{x}{1}=\frac{y}{3}=\frac{z}{1} $ is equal to

The number of lines making equal angles with the coordinate axes in three dimensional geometry is equal to

The projection of a line segment $OP$ through origin $O$, on the coordinate axes are $8, 5, 6$. Then, the length of the line segment $OP$ is equal to

The vector equation of the straight line $ 6x-8=2y-7=3z $ is

The unit normal vector to the plane $ 3x+2y-2z=8\sqrt{17} $ is

if the straight lines $ 2x+5ay-1=0 $ and $ 3x+7y+7=0 $ are mutually perpendicular, then value of $a$ is

If $A$ is a square matrix of order $3$ and if $ \det \,(A)=3, $ then $ \det \,[adj\,\,\{adj\,(adj\,A)\}] $ is equal to

If $A$ and $B$ are square matrices of order $3$ such that $ det\text{ }A=1 $ and $ det\text{ }B=-1 $ then $ det\text{ (-10}\,\text{AB)} $ is equal to

If $ {{\tan }^{-1}}\,(1-x),\,\,{{\tan }^{-1}}\,(x) $ and $ {{\tan }^{-1}}\,(1+x) $ are in $A.P.$, then the value of $ {{x}^{3}}+{{x}^{2}} $ is equal to

$ \int_{0}^{\pi /2}{\frac{{{\sin }^{100}}x}{{{\sin }^{100}}x+{{\cos }^{100}}x}\,\,dx} $ is equal to

Four arithmetic means between $-10$ and $25$ are inserted. Then the $5^{th}$ term in the series is

If $A$ and $B$ are square matrices of order 3 such that $det A = 1$ and $ det B = -1$, then $det (- 10 AB) = ? $

If $\begin{vmatrix} a_1 &b_1 &c_1 \\[0.3em] a_2 &b_2 &c_2 \\[0.3em] a_ 3&b_3 &c_3 \end{vmatrix}=\,\,\,\,3,\, $ then $ \begin{vmatrix} 3a_1 &9b_1 &3c_1 \\[0.3em] a_2 &3b_2 &c_2 \\[0.3em] 3a_ 3&9b_3 &3c_3 \end{vmatrix}=$,

$ \int{{{x}^{2}}\,{{7}^{x}}\,\,dx} $ is equal to

The dual of the statement $ (\sim p)\wedge [(\sim q)\wedge (p\vee q)\wedge ( \sim r)] $ is

The radius of the sphere $ |\,3\,\vec{r}+2\hat{i}-\hat{j}-4\hat{k}|=3 $ is

$ \underset{n\to \infty }{\mathop{\lim }}\,\,\,\frac{{{2}^{n+1}}+{{3}^{n+1}}}{{{2}^{n}}+{{3}^{n}}} $ is equal to

If $ A+B+C=\pi , $ then $ \tan \frac{A}{2}\tan \frac{B}{2}+\tan \frac{B}{2}\tan \frac{C}{2}+\tan \frac{C}{2}+\tan \frac{C}{2}\tan \frac{A}{2} $ is equal to

The foot of the perpendicular drawn from the origin to a plane is $ (1,-1,5) $ . The equation of the plane is

The centroid of the triangle formed by joining the mid points of the sides of a triangle with vertices $ (-1,-1),(2,4) $ and $ (-5,-6) $ is

The pair of straight lines $ {{x}^{2}}-3{{y}^{2}}=0 $ and the line $ x=1 $ form a triangle which is

$ \int_{0}^{x}{\log \,(\cot \,x\,+\,\tan t)\,dt} $ =

If $ {{\tan }^{-1}}\,2 $ and $ {{\tan }^{-1}}\,3 $ are two angles of a triangle, then the third angle is

The image of the point $ (6,3,9) $ in the straight line $ x-2=\frac{1-y}{2}=\frac{z}{2} $ is