List of top Questions asked in VITEEE

The locus of a point that is equidistant from the lines \[ x + y - 2\sqrt{2} = 0 \quad {and} \quad x + y - \sqrt{2} = 0 { is:} \]
The point diametrically opposite to the point \( P(1, 0) \) { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]

For the parabola \( y^2 = -12x \), the equation of the directrix is  \( x = a \). The value of  \( a \) is:

The equation of the hyperbola with vertices at

\[ (0, \pm 6) \quad \text{and} \quad e = \frac{5}{3} \]

is:

The following determinant is equal to:

\[ \begin{vmatrix} \sin^2 x & \cos^2 x & 1 \\ \cos^2 x & \sin^2 x & 1 \\ -10 & 12 & 2 \end{vmatrix} \]

The function \( f(x) \) is given by:

\[ f(x) = \begin{cases} x \lfloor x \rfloor & \text{if } 0 \leq x < 2 \\ (x - 1)x & \text{if } 2 \leq x < 3 \end{cases} \]

The function is:

The local minimum value of the function \[ f(x) = 3 + |x|, \quad x \in \mathbb{R} \] is:

The value of the integral \[ \int_0^{\frac{\pi}{2}} \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx \] is:

An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is:
What is the total marks obtained by Meera in all the subjects?
What is the average marks obtained by these seven students in History? (rounded off to two digits)

How many students have got 60% or more marks in all the subjects?

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. \[ 5, 11, 24, 51, 106, \_ ? \]
Kailash faces towards north. Turnings to his right, he walks 25 metres. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to the right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he now from his starting point?

Two statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. 
Statements: 1. All utensils are spoons. 
2. All bowls are spoons. 
Conclusions: I. No utensil is a bowl. II. Some utensils are bowls. III. No spoon is a utensil.

What was the ratio between the ages of P and Q four years ago? I. The ratio between the present ages of P and Q is 3 : 4. II. The ratio between the present ages of Q and R is 4 : 5.
Which of the following lanthanides are in tv screen.
An electron moving with speed \( v \) and a photon with speed \( c \), have the same de-Broglie wavelength. The ratio of kinetic energy of the electron to that of the photon is:
Assuming fully decomposed, the volume of \( {CO}_2 \) released will be:
The oxidation number of phosphorus in \( {Ba(H}_2{PO}_2)_2 \) is:
The correct order of thermal stability of hydroxides is:
Which of the following has correct increasing basic strength?
Water sample is reported to be highly polluted if BOD (Biological Oxygen Demand) value of sample becomes:
200 mL of an aqueous solution of a protein contains 1.26 g. The osmotic pressure of this solution at 300 K is found to be \( 2.57 \times 10^{-3} \, {bar} \). The molar mass of the protein will be: (R = 0.083 L bar mol\(^{-1}\) K\(^{-1}\))
Lyophilic sols are more stable than lyophobic sols because: