List of top Questions asked in VITEEE

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:

Eccentricity of ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ if it passes through point $(9, 5)$ and $(12, 4)$ is:

If

and $(A + B)^2 = A^2 + B^2$ then $x + y$ is:

The lines $$ p(p^2 + 1)x - y + q = 0 \quad {and} \quad (p^2 + 1)^2 x + (p^2 + 1)y + 2q = 0 $$ are perpendicular to a common line for:

In $\triangle ABC$, the midpoints of the sides $AB$, $BC$, and $CA$ are respectively $(1, 0, 0)$, $(0, m, 0)$, and $(0, 0, n)$. Then, $$ \frac{AB^2 + BC^2 + CA^2}{1^2 + m^2 + n^2} \text{ is equal to:} $$

The area of the region bounded by the ellipse $$\frac{x^2}{16} + \frac{y^2}{9} = 1$$ is:

What is the correct order of reactivity of alcohols in the following reaction?
$$ R - OH + HCl \rightarrow R - Cl + H_2O $$

The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

Consider a curve $ y = y(x) $ in the first quadrant as shown in the figure. Let the area $ A_1 $ be twice the area $ A_2 $. The normal to the curve perpendicular to the line \[ 2x - 12y = 15 \] does NOT pass through which point?

If \[ R = \{ (x, y) : x \text{ is exactly } 7\text{cm taller than } y \} \] then $ R $ is:

Evaluate the integral: \[ I = \int \frac{\sin^2 x - \cos^2 x}{\sin^2 x \cos^2 x} dx \]

Evaluate: \[ \cos^{-1} \frac{1}{2} + \sin^{-1} (1) + \tan^{-1} \frac{1}{\sqrt{3}} \]

The particular solution of \[ \log \frac{dy}{dx} = 3x + 4y, \quad y(0) = 0 \] is:

The equation of the circle with centre (0,2) and radius 2 is \[ x^2 + y^2 - my = 0. \] The value of $ m $ is:

If

then $ {Adj} (A) $ is equal to:

The sum of the series \[ \frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \dots \] up to 15 terms is:

The determinant of the matrix:

is:

The argument of the complex number \[ \left( \frac{i}{2} - \frac{2}{i} \right) \] is equal to:

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:

The angle between the two lines: \[ \frac{x + 1}{2} = \frac{y + 3}{2} = \frac{z - 4}{-1} \] \[ \frac{x - 4}{1} = \frac{y + 4}{2} = \frac{z + 1}{2} \] is: