List of top Questions asked in VITEEE

If the normal to the rectangular hyperbola \( xy = c^2 \) at the point \( (ct, c/t) \) meets the curve again at \( (ct', c/t') \), then:

If \( e^x = y + \sqrt{1 + y^2} \), then the value of y is:

Consider an infinite geometric series with the first term and common ratio. If its sum is 4 and the second term is \( \frac{3}{4} \), then:

If \( \alpha \) and \( \beta \) are the roots of the equation \( ax^2 + bx + c = 0 \), then the value of \( \alpha^3 + \beta^3 \) is:

The volume of the tetrahedron with vertices \( P(1, 2, 0), Q(2, 1, -3), R(1, 0, 1) \), and \( S(3, -2, 3) \) is:

If \( \mathbf{a} = i + 2j + 3k \), \( \mathbf{b} = i + 2j + k \), and \( \mathbf{c} = 3i + j \), then \( \mathbf{a} + \mathbf{b} \) is at right angle to \( \mathbf{c} \), then \( a + b \) and \( t \) are equal to:

An equation of the plane passing through the line of intersection of the planes \( x + y + z = 6 \) and \( 2x + 3y + 4z = 5 \), and passing through \( (1, 1, 1) \) is:

The length of the shortest distance between the lines \( \mathbf{r} = 3i + 5j + 7k + \lambda(2i - 2j + 3k) \) and \( \mathbf{r} = -i - j + k + \mu(7i - 6j + k) \) is:

Activation of benzene ring in aniline can be decreased by treating with:

The value of \( x \), for which the matrix \( A \) is singular, is: \[ A = \begin{pmatrix} 2 & x & -1 & 2 \\ 1 & x & 2x^2 \\ 1 & \frac{1}{x} & 2 \end{pmatrix} \]

The values of \( \alpha \) for which the system of equation \( x + y + z = 1 \), \( x + 2y + 4z = \alpha \), \( x + 4y + 10z = \alpha^2 \) is consistent are given by:

The non-integer roots of \( x^4 - 3x^3 - 2x^2 + 3x + 1 = 0 \) are:

The O–H stretching vibration of alcohols absorbs in the region 3700–3500 cm\(^{-1}\). The O–H stretching of carboxylic acids absorbs in the region:

Which among the following reduces Fehling’s solution?

Determine the experimental condition for the following reaction:

Which one of the following is an ingredient of Phthalic acid manufacture by catalytic oxidation?

On comparison with H–C–H bond angle of methane, the C–N–C bond angle of trimethylamine is:

The transition of acylazide (RCON\(_3\)) with acidic or alkaline medium gives:

The sequence of basic strength of alkyl amines follows the order:

R–OH + LiAlH\(_4\) \( \rightarrow \) ?

Which one of the following is correct?

Which one of the following products is obtained when diethyl ether is boiled with water in the presence of dilute acid?

Identify the product for the following reaction:

What is the reaction of acetaldehyde with concentrated sulphuric acid?

Calcium Acetate on heating under distillation gives: