List of top Mathematics Questions asked in VITEEE

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

An equation of the plane passing through the line of intersection of the planes x + y + z = 6 and 2x + 3y + 4z + 5 = 0 and passing through (1, 1, 1) is

$If \, \, \vec{a}=\hat{i}+2\hat{j}+3\hat{k}, \, \vec{b}= \, -\hat{i}+2\hat{j}+\hat{k}$ and $\vec{c} \, = \, 3\hat{i}+\hat{j}$ then t such that $\vec{a}+t\vec{b}$ is at right angle to $\vec{c}$ will be equal to

if $e^x \, =\, y+ \sqrt{1+y^2},$ then the value of y is

The value of the integral $\int\limits_{0}^{\frac{\pi}{2}} log \left(tan\,x\right)dx=$

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

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

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

If sin $\theta$ , cos $\theta$ , tan $\theta$ are in G.P. then $cos^{9} \theta + cos^{6}\theta + 3cos^{5}\theta- 1$ is equal to

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

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

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

Which of the following is a tautology?

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

The arithmetic mean and the harmonic mean between 2 numbers are 27 and 12 respectively, then their geometric mean is given by:

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

Perpendicular distance of the point P (3,5,6) from Y-axis is