List of top Questions asked in VITEEE

The length of the straight line $x - 3y = 1$ intercepted by the hyperbola $x^2 - 4y^2 = 1$ is

The curve described parametrically by $x = t^2 + 2t - 1, y = 3t + 5$ represents

If $\sin^{-1} x + \sin^{-1} y = \frac{\pi}{2}$ , then $\cos^{-1} x + \cos^{-1} y$ is equal to

$\frac{1+\tan ^{2} x}{1-\tan ^{2} x} d x$ is equal to

The function $f(x) = x^2 \; e^{-2} x, x > 0$. Then the maximum value of $f(x)$ is

If b$^2 \ge 4 ac$ for the equation $ax^4 + bx^2 + c = 0$, then all the roots of the equation will be real if

Let $A = \{1,2,3,....., n\}$ and $B = \{a,b,c\}$, then the number of functions from $A$ to $B$ that are onto is

The differential equation of the system of all circles of radius $r$ in the $xy$ plane is

If $x > 0$ and $\log_{3} x+\log_{3}\left(\sqrt{x}\right)+\log_{3}\left(\sqrt[4]{x}\right)+\log_{3}\sqrt[8]{x}+\log_{3}\left(\sqrt[16]{x}\right)+....=4,$ then x equals

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

A current of 5A is passing through a metallic wire of cross-sectional area $4\times10^{-6}m^2$ If the density of the charge carriers in the wire is 5 ? $10^{26}m^{-3}$, the drift speed of the electrons will be [e = 1.602 ? $10^{-19}C$]

When ideal gas expands in vacuum, the work done by the gas is equal to

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

The electrolyte used in Lechlanche cell is

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

$If \, \, \vec{a}=\hat{i}+2\hat{j}+3\hat{k}, \, \vec{b}= \, -\hat{i}+2\hat{j}+\hat{k}$ 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

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

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

Which one of the following is amorphous?

The reaction,Zn(s) + CuSO4(aq) $\rightarrow$ZnSO4(aq) + Cu(s) is an example of a

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?

How many lattice points belong to a face centered cubic unit cell?