List of top Questions asked in JKCET- 2008

If $ x\ne 0,\,\left| \begin{matrix} x+1 & 2x+1 & 3x+1 \\ 2x & 4x+3 & 6x+3 \\ 4x+4 & 6x+4 & 8x+4 \\ \end{matrix} \right|=0, $ then $2x+1 $ is equal to

The order of electron affinity of halogens is

The number of permutations of 4 letters that can be made out of the letters of the word EXAMINATION is

The angle of incidence of light is equal to Brewster's angle, then (A) reflected ray is perpendicular to refracted ray (B) refracted ray is parallel to reflected ray (C) reflected light is polarized having its electric vector in plane of incidence (D) refracted light is polarized

The coefficient of $ {{x}^{r}} $ in the expansion of $ {{(1-x)}^{-2}} $ is

The distance between the parallel lines $ y=x+a,\,\,y=x+b $ is

$ 3a{{\int_{0}^{1}{\left( \frac{ax-1}{a-1} \right)}}^{2}}\,\,dx $ is equal to

The number of solutions of $ \sin x=\sin 2x $ between $ \frac{-\pi }{2} $ and $ \frac{\pi }{2} $ is

The foot of the perpendicular from $ (2,4,-1) $ to the line $ x+5=\frac{1}{4}(y+3)=-\frac{1}{9}(z-6) $

If $A$ is a square matrix. $A'$ its transpose, then $ \frac{1}{2}(A-A') $ is

If $ \alpha ,\beta $ are the roots of the equation $ {{x}^{2}}+ax+b=0, $ then $ \frac{1}{{{\alpha }^{2}}}+\frac{1}{{{\beta }^{2}}} $ is equal to

If $p^{th}$ term of an arithmetic progression is $q$ and the $q^{th}$ term is $p$, then $10^{th}$ term is

If $ y={{\sec }^{-1}}\left( \frac{1}{\sqrt{1-{{x}^{2}}}} \right), $ then $ \frac{dy}{dx} $ is equal to

A point P moves so that the sum of its distances from $ (-ae,\,0) $ and $ (ae,\,0) $ is $ 2a $ . Then the locus of P is

The vector equation of the line passing through the points $ (3,2,1) $ and $ (-2,1,3) $ is

If $ |a|<1, $ then $ 1+2a+3{{a}^{2}}+4{{a}^{3}}+..... $ is equal to

The distance between the planes $ 2x-2y+z+3=0 $ and $ 4x-4y+2z+5=0 $ is

If $ {{C}_{0}},{{C}_{1}},{{C}_{2}},.....{{C}_{n}} $ denotes the binomial coefficients in the expansion of $ {{(1+x)}^{n}}, $ then $ {{C}_{0}}+\frac{{{C}_{1}}}{2}+\frac{{{C}_{2}}}{3}+....+\frac{{{C}_{n}}}{n+1} $ is equal to

$ \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

In L-C-R series circuit the resonance condition in terms of capacitive reactance ($X_C$) and inductive reactance ($ X_L)$ is

A sphere of radius $R$ is gently dropped into liquid of viscosity $ \eta $ in a vertical uniform tube. It attains a terminal velocity $v$. Another sphere of radius $2\,R$ when dropped into the same liquid, will attain its terminal velocity

Galvanic cell is a device in which

For a gas molecule with $6$ degrees of freedom the law of equipartition of energy gives the following relation between the molecular specific heat $(C_{V})$ and gas constant $(R)$