List of top Questions asked in VITEEE

For strong electrolytes the plot of molar conductance vs $\sqrt{C}$ is

${HOOC - (CH_2)_4 - COOH + 2C_2H_5OH ->[H_2SO_4][Toluene] C_2H_5OOC -CH_2 - COOC H_5}$ The purpose of using toluene here is

If the normal to the curve $y = f(x)$ at $(3,4)$ makes an angle $\frac{3 \pi}{4}$ with the positive x-axis, then $f'(3)$ is equal to

The equation of a directrix of the ellipse $\frac{x^2}{16} + \frac{y^2}{25} = 1 $ is

Let A=$\begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 &t \\ 4&7-t&-6 \\ \end{bmatrix}$, then the values of t for which inverse of A does not exist

$If \, \, \vec{a}=\hat{i}+2\hat{j}+3\hat{k}, \, \vec{b}= \, -\hat{i}+2\hat{j}+\hat{k}$ and $\vec{c} \, = \, 3\hat{i}+\hat{j}$ then t such that $\vec{a}+t\vec{b}$ is at right angle to $\vec{c}$ will be equal to

The length of the shortest distance between the lines $\vec{r}=3\hat{i}+5\hat{j}+7\hat{k}+\lambda(\hat{i}-2\hat{j}+\hat{k})$ and $\vec{r} = -\hat{i}-\hat{j}-\hat{k}+\mu (7\hat{i}-6\hat{j}+\hat{k})$ is

If $\alpha \, and \, \beta$ are the roots of the equation ax+bx+c=0, then the value of $\alpha^{3} \, + \, \beta^{3}$ is

if $e^x \, =\, y+ \sqrt{1+y^2},$ then the value of y is

An equation of the plane passing through the line of intersection of the planes x + y + z = 6 and 2x + 3y + 4z + 5 = 0 and passing through (1, 1, 1) is

An equilateral triangle is inscribed in the parabola y$^2$ = 4x one of whose vertex is at the vertex of the parabola, the length of each side of the triangle is

The values of $\alpha$ for which the system of equation x + y + z = 1, x + 2y + 4z = $\alpha$, x + 4y + 10z = $\alpha^2$ is consistent are given by

If x = -9 is a root of A = $\begin{vmatrix} x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x \\ \end{vmatrix}$ = 0, then other two root are

The volume of the tetrahedron with vertices P (-1, 2, 0), Q ( 2, 1, -3), R (1, 0, 1) and S (3, -2, 3) is

The particular integral of $\frac{d^2y}{dx^2}+2y=x^2$is

The value of the integral $\int\limits_{0}^{\frac{\pi}{2}} log \left(tan\,x\right)dx=$

In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding 6 ?

What is the least value of k such that the function x$^2$ + kx + 1 is strictly increasing on (1,2)

Name the complex Ni(PF)

A new system of units is evolved in which the values of $\mu_0$ and $\epsilon_0$are 2 and 8 respectively. Then the speed of light in this system will be

The increase of pressure on ice ? water at a constant temperature will cause

Schottky defect in solids is due to

The order of the reaction $N_2O_5 \, \rightarrow \, N_2O_4(g) + \frac{1}{2}O_2(g)$ is

6 moles of an ideal gas expand isothermally and reversibly from a volume of 1 litre to a volume of 10 litres at 27?C. What is the maximum work done?