List of top Mathematics Questions asked in VITEEE

Coin is tossed till heads is obtained what is expectation of no. of coin tosses

A die is thrown $10$ times, the probability that an odd number will come up at least one time is

If $\left(\vec{a}\times\vec{b}\right)^{2}+\left(\vec{a}.\vec{b}\right)^{2}=676$ and $\left|\vec{b}\right|=2,$ then $\left|\vec{a}\right|$ is equal to

At how many points between the interval $ \left(-\infty, \infty\right)$ is the function $f (x) = sin\, x$ is not differentiable.

A circle has radius 3 and its centre lies on the line $y = x -1$ . The equation of the circle, if it passes through $(7, 3)$, is

The system of linear equations : $x + y + z = 0, 2x + y - z = 0, 3x + 2y = 0$ has :

If vector equation of the line$\frac{x-2}{2}=\frac{2y-5}{-3}=z+1,$ is $\vec{r}=\left(2\hat{i}+\frac{5}{2} \hat{j}-\hat{k}\right)+\lambda\left(2\hat{i}-\frac{3}{2} \hat{j}+p\hat{k}\right)$ then $p$ is equal to

Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is

Let $a, b, c, be$ in $A.P.$ with a common difference $d.$ Then $e^{1/e}, e^{b/bc}, e^{1/a}$ are in :

The position vector of $A$ and $B$ are $ 2\hat{i}+2\hat{j}+\hat{k}$ and $2\hat{i}+4\hat{j}+4\hat{k}$ The length of the internal bisector of $?BOA$ triangle $AOB$ is

If sin y = x sin (a + y), then  $\frac{dy}{dx}$is

If the coordinates at one end of a diameter of the circle $x^2 + y^2 - 8x - 4y + c = 0$ are $(-3, 2)$, then the coordinates at the other end are

The radius of a right circular cylinder increases at the rate of $0.1\, cm/min$, and the height decreases at the rate of $0.2\, cm/min$. The rate of change of the volume of the cylinder, in $cm^3/min$, when the radius is $2\, cm$ and the height is $3\, cm$ is

The equation $y^2 + 3 = 2(2x + y)$ represents a parabola with the vertex at

The area under the curve $y = | cos\, x - sin \,x |, 0 \le x\le\frac{\pi}{2}$, and above x-axis is :

The eccentricity of the ellipse whose major axis is three times the minor axis is:

The no. of points of discontinuity of the function f (x) = x - [x] in the interval (0, 7) are

The focus of the curve $y^2 + 4x - 6y + 13 = 0$ is

Amplitude of $\frac{1+\sqrt{3}i}{\sqrt{3}+1}$ is :

If A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. then, I. P(not A) = 0.58 II. P(not B) = 0.52 III. P(A or B) = 0.47

A football is inflated by pumping air in it. When it acquires spherical shape its radius increases at the rate of 0.02 cm/s. The rate of increase of its volume when the radius is 10 cm is ___________$\pi$ cm/s

For the LPP; maximise $z =x + 4y$ subject to the constraints $x + 2y \leq 2, x +2 y \ge 8, x, y \ge 0$

The vector equation of the symmetrical form of equation of straight line $\frac{x-5}{3} = \frac{y+4}{7} = \frac{z-6}{2}$ is

What is the length of the projection of $3\hat{i}+4\hat{j}+5\hat{k}$ on the xy-plane ?

The solution of $\frac{dv}{dt} +\frac{k}{m}v = -g$ is