List of top Questions asked in VITEEE

If \( n(A) = 4 \) and \( n(B) = 7 \), then the difference between the maximum and minimum value of \( n(A \cup B) \) is:
The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:
The number of nonzero terms in the expansion of \[ (1 + 3\sqrt{2}x)^9 + (1 - 3\sqrt{2}x)^9 \] is:
If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at \( x = 2 \) and \( x = 4 \), then the values of \( a \) and \( b \) are:

The determinant of the matrix:

is:

Evaluate: \[ \cos^{-1} \frac{1}{2} + \sin^{-1} (1) + \tan^{-1} \frac{1}{\sqrt{3}} \]
The general solution of the differential equation given by: \[ \tan^{-1} x + \tan^{-1} y = c \]
If \[ f(x) = \frac{x + |x|}{x} \] then the value of \[ \lim_{x \to 0} f(x) \] is:
A parallel plate air capacitor of capacitance \( C \) is connected to a cell of emf \( V \) and then disconnected from it. A dielectric slab of dielectric constant \( K \), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
A sinusoidal voltage of amplitude 25 V and frequency 50 Hz is applied to a half-wave rectifier using a P-N junction diode. No filter is used, and the load resistor is \( 1000\Omega \). The forward resistance \( R_f \) of the ideal diode is \( 10\Omega \). The percentage rectifier efficiency is:
The half-life of radioactive radon is 3.8 days. The time at the end of which \(\frac{1}{20}th\) of the Radon sample will remain undecayed is (given log10e=0.4343)
If someone else's opinion makes us angry, it means that
Conviction means
"Your own contrary conviction" refers to
The second sentence in the passage
The writer says if someone maintains that two and two are five, you feel pity because you

The shape of \([ \text{Cu}(\text{NH}_3)_4 ]^{2+}\) is:

The variance of the data \( 2, 4, 6, 8, 10 \) is:

The sum of the first n terms of the series $$ 1^2 + 2 \cdot 2^2 + 3^2 + 2 \cdot 4^2 + 5^2 + 2 \cdot 6^2 + \cdots $$ is $$ \frac{n(n + 1)^2}{2} \quad \text{when n is even. When n is odd the sum is} $$ 
When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on:
A current \( I \) flows along the length of an infinitely long, straight, thin-walled pipe. Then:
The recoil speed of a hydrogen atom after it goes from \( n = 5 \) state to \( n = 1 \) state will be:
Zener breakdown occurs in a p − n junction having p and n both:
The escape velocity of a body depends upon mass as:
A stone of mass \( m \), tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is: