List of top Questions asked in VITEEE

For a first order reaction $A \to P,$ the temperature (T) dependent rate constant (k) was found to followthe equation log k=- (2000) $\frac{1}{T}+6.0.$ The pre-exponential factor A and the activation energy $E_{a,}$ respectively, are
If the eccentricity of the hyperbola $x^{2}-y^{2} cos ec^{2} \alpha=25 is \sqrt{5}$ times the eccentricity of the ellipse $x^{2} cos ec^{2} \alpha+y^{2}=5, then \alpha$ is equal to :
If $f(x) = x^2 , g(x) = 2x,0 \leq x \leq 2$ then the value of $I(x) = \int\limits_0^2 max (f(x), g(x))$ is
A (+)vely charged particle is placed near an infinitely long straight conductor where there is zero gravity. Then
The value of $ (1 + \omega - \omega^2)^7$ is
The number of surjective functions from $A$ to $B$ where $A = \{1, 2, 3, 4 \}$ and $B = \{a, b\}$ is
If $|\vec{a} | = 3, |\vec{b}| = 2, |\vec{c}| = 1$ then the value of $|\vec{a}. \vec{b} + \vec{b} . \vec{c} + \vec{c} . \vec{a}| $ is (given that $\vec{a} + \vec{b} + \vec{c} = 0$)
The equation of one of the common tangents to the parabola $y^2 = 8x$ and $x^2 + y^2 - 12x + 4 = 0$ is
If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is
If the tangent to the function $y = f(x) $ at $(3,4)$ makes an angle of $\frac{3 \pi }{4}$ with the positive direction of x-axis in anticlockwise direction then $f ' (3)$ is
In a culture the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present.
The probability of India winning a test match against Australia is $\frac{1}{2}$ assuming independence from match to match. The probability that in a match series India�s second win occurs at third test match is
What is the area of a loop of the curve $r = a \sin^3 \theta$ ?
The value of $ (1 + \omega - \omega^2)^7$ is
A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3) $ and $C (-1, 1, 2)$. Then the angle between the faces $OAB$ and $ABC$ will be
If $ A$ and $B$ are matrices and $B = ABA^{-1}$ then the value of $(A + B) (A - B)$ is
If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is
If $e^x = y + \sqrt{ 1 + y^2}$ , then the value of y is
Two point dipoles $p \hat{k}$ and $\frac{p}{2} \hat{k}$ are located at $(0,0,0)$ and $(1\, m , 0,2\, m )$ respectively. The resultant electric field due to the two dipoles at the point $(1 \,m , 0,0)$ is
The wavenumber of the first emission line in the Balmer series of H-Spectrum is: [$R=$ Rydberg constant]
A plot of ln K against $\frac{1}{T}$ (abscissa) is expected to be a straight line with intercept on ordinate axis equal
Among the following the incorrect statement is
One mole of an ideal gas at 300 K is expanded isothermally from an initial volume of 1 litre to 10 litres. Then $ {\Delta S (cal \, deg^{-1} \, mol^{-1})}$ for this process is : $ { (R = 2 \, cal \, K^{-1} \, mol^{-1})}$
Phenol undergoes electrophilic substitution more easily than benzene because
In shown fig, the circular loop of wire is moved with velocity towards the infinite current carrying wire. Then