List of top Mathematics Questions asked in VITEEE

The eccentricity of the curve \[ 2x^2 + y^2 - 8x - 2y + 1 = 0 { is:} \]

The following determinant is equal to:

\[ \begin{vmatrix} \sin^2 x & \cos^2 x & 1 \\ \cos^2 x & \sin^2 x & 1 \\ -10 & 12 & 2 \end{vmatrix} \]

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. \[ 5, 11, 24, 51, 106, \_ ? \]

The point diametrically opposite to the point \( P(1, 0) \) { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]

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

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

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

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

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

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

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

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 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

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

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 :

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

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