List of top Mathematics Questions asked in VITEEE

The solution of \( x \sec \left( \frac{x}{y} \right) - y \, dx + x \, dy = 0 \) is:

The particular integral of \( \frac{d^2 y}{dx^2} + 2y = x^2 \) is:

The solution of \( D^2 + 16y = \cos 4x \) is:

Determine which one of the following relations on \( X = \{1, 2, 3, 4\} \) is not transitive.

Find the number of ways in which five large books, four medium-size books, and three small books can be placed on a shelf so that all books of the same size are together.

Consider the set \( Q \) of rational numbers. Let \( * \) be the operation \( a * b = a + b - ab \). The identity element under \( * \) is:

The statement \( p \to q \) is equivalent to:

In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding 6?

Team A has probability \( \frac{2}{3} \) of winning whenever it plays. Suppose A plays four games. What is the probability that A wins more than half of its games?

An unprepared student takes five questions of true-false type quiz and guesses every answer. What is the probability that the student will pass the quiz if at least four correct answers is the passing grade?

The number of real tangents through \( (3, 5) \) that can be drawn to the ellipses \( 3x^2 + 5y^2 = 32 \) and \( 25x^2 + 9y^2 = 450 \) is:

In a triangle ABC, \( 5 \cos C + 6 \cos B = 4 \) and \( 6 \cos A + 4 \cos C = 5 \), then:

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:

What is the least value of k such that the function x$^2$ + kx + 1 is strictly increasing on (1,2)

Which of the following is a tautology?

The angle between the curves y = x3 and y = x5 at x = 0 is

Let a, b be elements of the group G. Assume that A has order 5 and a3b = ba3, then G is

Let f(x) = | |x| – 1|, then the point where f(x)is not differentiable, is / are?

If z1, z2, z3 are the vertices of the equilateral triangle and the z0 be its orthocentre, such that z12+z22+z32 = Kz02, then K equals

A conducting loop in the plane of the paper is halfway into the magnetic field (which points into the page). If the magnetic field begins to increase rapidly in strength, what happens to the loop?