List of top Mathematics Questions asked in VITEEE

The equation of a directrix of the ellipse $\frac{x^2}{16} + \frac{y^2}{25} = 1 $ is

Let A=$\begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 &t \\ 4&7-t&-6 \\ \end{bmatrix}$, then the values of t for which inverse of A does not exist

If $\alpha \, and \, \beta$ are the roots of the equation ax+bx+c=0, then the value of $\alpha^{3} \, + \, \beta^{3}$ is

An equilateral triangle is inscribed in the parabola y$^2$ = 4x one of whose vertex is at the vertex of the parabola, the length of each side of the triangle 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

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

If x = -9 is a root of A = $\begin{vmatrix} x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x \\ \end{vmatrix}$ = 0, then other two root are

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

$If \, \, \vec{a}=\hat{i}+2\hat{j}+3\hat{k}, \, \vec{b}= \, -\hat{i}+2\hat{j}+\hat{k}$ 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 ?

The solution of (D$^2$ + 16) y = cos4x is

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:

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