List of top Questions asked in VITEEE- 2010

The numerically greatest term in the expansion of $(3-5x)^{11}$ when $x = \frac{1}{5},$ 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 number of solutions of the equation $\sin \; (e^{x}) = 5^x + 5^{-x}$, is
Let $S$ be a set containing $n$ elements. Then, number of binary operations on $S$ 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
Domain of the function $f (x) = \log_x \; \cos \; x$, is
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
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
A potential difference of $2\, V$ is applied between the opposite faces of a $Ge$ crystal plate of area $1\, cm ^{2}$ and thickness $0.5 mm$. If the concentration of electrons in $Ge$ is $2 \times 10^{19} / m ^{2}$ and mobilities of electrons and holes are $0.36\, m ^{2} V ^{-1} s ^{-1}$ and $0.14\, m ^{2} V ^{-1} s ^{-1}$ respectively, then the current flowing through the plate will be
A straight wire carrying current i is turned into a circular loop. If the magnitude of magnetic moment associated with it in MKS unit is M, the length of wire will be
On treatment of propanone with dilute $Ba(OH)_2$, the product formed is
In Meter bridge or Wheatstone bridge for measurement of resistance, the known and the unknown resistances are interchanged. The error so removed is
Magnetic field at the centre of a circular loop of area $A$ is $B$. The magnetic moment of the loop will be
Frenkel defect is generally observed in
Most crystals show good cleavage because their atoms, ions or molecules are
Which of the following compounds is not coloured?
Zener diode is used for
An arc of radius $r$ carries charge. The linear density of charge is $\lambda$ and the arc subtends an angle $\frac{\pi}{3}$ at the centre. What is electric potential at the centre?
Figure shows a straight wire length $l$ carrying current $i$. The magnitude of magnetic field produced by the current at point $P$ is.
Nitrobenzene can be converted into azobenzene by reduction with
For what values of m can the expression $2x^2 + mxy + 3y^2 - 5y - 2$ be expressed as the product of two linear factors
Enthalpy of a compound is equal to its