List of top Questions asked in VITEEE

If $I =\int\frac{x^{5}}{\sqrt{1+x^{3}}}dx$ , then I is equal to

When aqueous solution of benzene diazoniumchloride is boiled, the product formed is

A box contains $9$ tickets numbered $1$ to $9$ inclusive. If $3$ tickets are drawn from the box one at a time, the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is

$AgCl$ dissolves in a solution of ${NH_3}$ but not in water because

The imaginary part of $\frac{\left(1+i\right)^{2}}{i\left(2i-1\right)} $ is

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

If the normal at $(ap^2, 2ap)$ on the parabola $y^2 = 4ax,$ meets the parabola again at $(aq^2, 2aq)$, then

If (x +y )sin u = $x^2y^2$, then $x \frac{\partial u}{\partial x} + y \frac{\partial u}{\partial y} = $

The weakest acid amongst the following is

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

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

If $ P\left(A\right)=\frac{1}{12}, P\left(B\right)=\frac{5}{12},$ and $P\left(B|A\right) =\frac{1}{15}$ then $p\left(A\cup B\right)$ is equal to

If the rank of the matrix $\begin{bmatrix}-1 &2&5\\ 2&-4&a-4\\ 1&-2&a+1\end{bmatrix}$ is 1, then the value of $a$ 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

The product of all values of $(\cos \alpha + i \sin \alpha)^{3/5}$ is equal to

The sum of the series $ \frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+... $ upto $ n $ term is

Two electrons one moving in opposite direction with speeds $0.8\,c$ and $0.4\,c$ where c is the speed of light in vacuum. Then the relative speed is about

The velocity of a particle at which the kinetic energy is equal to its rest energy is

A uniform copper wire of length $1 m$ and cross-sectional area $5 \times 10^{-7} m ^{2}$ carries a current of $1, A$. Assuming that there are $8 \times 10^{28}$ free electron $/ m ^{3}$ in copper, how long will an electron take to drift from one end of the wire to the other?

Given: $ { 2C(s) + 2O_2 (g) -> 2CO_2 (g) ; \Delta H = -787 kJ} $

The temperature coefficient of resistance of a wire is $0.00125/K$. At $300\,K$ its resistance is 1 $\Omega$ .The resistance of the wire will be 2 $\Omega$ at

The transmission of high frequencies in a coaxial cable is determined by

A conductor and a semi-conductor are connected in parallel as shown in the figure. At a certain voltage both ammeters registers the same current. If the voltage of the DC source is increased then