List of top Mathematics Questions asked in VITEEE

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 probability density \( f(x) \) of a continuous random variable is given by \( f(x) = K e^{-|x|} \) for \( -\infty < x < \infty \). Then the value of \( K \) is:
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
Find the value of \( x \) that satisfies the equation \( \frac{3x - 4}{2} = 5 \).
Find the sum of the roots of the quadratic equation \( 2x^2 - 3x - 5 = 0 \).
Solve for \( x \) in the equation \( 3x + 5 = 2x + 7 \).
Find the value of \( x \) in the quadratic equation \( x^2 - 5x + 6 = 0 \).
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?
Max value of x+3y subject to conditions x+y≤4, 0≤x≤3 & 0≤y≤2 is?
The value of c for which the mean value of the theorem hols for the function f(x) = 2x - x 2 on the interval [0,1] is:
Cos x+y cosx cos x-y are in hp then \(\frac{cosx*secy}{2}\) is
Perpendicular distance of the point P (3,5,6) from Y-axis is
Area of the greatest rectangle that can be inscribed in the ellipse\( \frac{x_2 }{a_2} +\frac{ y_ 2 }{b_2} = 1\) is
The arithmetic mean and the harmonic mean between 2 numbers are 27 and 12 respectively, then their geometric mean is given by:
Boolean Identity (A→ + B→).(A +B) is equal to