List of top Mathematics Questions asked in VITEEE

If one $AM 'A'$ and two $GM$ $p$ and $q$ are inserted between two given numbers, then find the value of $\frac{p^{2}}{q}+\frac{q^{2}}{p}$

If the roots of the equation $x^2 + ax + b = 0$ are $c$ and $d$, then one of the roots of the equation $x^{2}+\left(2c+a\right)x+c^{2}+ac+b=0$ is

The number of ways of painting the faces of a cube of six different colours is

Domain of the function $f (x) = \log_x \; \cos \; x$, is

For what values of m can the expression $2x^2 + mxy + 3y^2 - 5y - 2$ be expressed as the product of two linear factors

The value of $\frac{\cos\theta}{1+ \sin\theta}$ is equal to

$\displaystyle\lim_{n\to\infty} \left[\frac{1}{1.2} + \frac{1}{2.3} + \frac{1}{3.4} + .... + \frac{1}{n\left(n+1\right)}\right] $ is equal to

Range of the function $y =\sin^{-1} \left(\frac{x^{2}}{1+x^{2}}\right) $ is

If $z$ satisfies the equation $|z|-z=1+2 i$, then $z$ is equal to

If $z=\frac{1-i \sqrt{3}}{1+i \sqrt{3}}$, then $\arg (z)$ is

Let $S$ be a set containing $n$ elements. Then, number of binary operations on $S$ is

If $B$ is a non-singular matrix and $A$ is a square matrix, then det $(B^{-1} AB)$ is equal to

If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is

The principal value of $\sin^{-1} \left\{\sin \frac{5\pi}{6}\right\} $ is

If $\int\limits^x_1 \frac{dt}{|t\, \sqrt{t^2 - 1}} = \frac{\pi}{6}$ , then $x$ can be equal to

The number of solutions of the equation $\sin \; (e^{x}) = 5^x + 5^{-x}$, is

If $a^x = b^{y} = c^{z} = d^{u}$ and $a, b,\, c,\, d$ are in $GP$, then $x,\, y,\, z,\, u$ are in

The numerically greatest term in the expansion of $(3-5x)^{11}$ when $x = \frac{1}{5},$ is

If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to

$cos^{-1} \left(\frac{-1}{2}\right)-2 sin^{-1}\left(\frac{1}{2}\right)+3 cos^{-1}\left(\frac{-1}{\sqrt{2}}\right)-4 tan^{-1 }\left(-1\right) $ equals

If $X$ is a binomial variate with the range $\{0,1,2,3,4,5,6\}$ and $ P(X=2)=4 P(X=4)$ then the parameter $p$ of $X$ is

The angle between the lines whose direction cosines satisfy the equations $l+m+n=0, l^{2}+m^{2}-n^{2}=0$ is

In a $\Delta A B C \frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4 b^{2} c^{2}}$ equals

The point $(3, -4)$ lies on both the circles $x^{2}+y^{2}-2x+8y+13=0$ and $x^{2}+y^{2}-4x+6y+11=0 $ Then, the angle between the circles is

If $f: R \rightarrow R$ is defined by $f(x)=\begin{cases}\frac{2 \sin x-\sin 2 x}{2 x \cos x}, & \text { if } x \neq 0 \\ a, & \text { if } x=0\end{cases}$ then the value of a so that f is continuous at $0$ is