List of top Questions asked in VITEEE- 2006

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
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
Calcium Acetate on heating under distillation gives
Identify the product for the following reaction
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
In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding 6 ?
The magnetic moment of lanthanide ions is determined from which one of the following relation?
The particular integral of $\frac{d^2y}{dx^2}+2y=x^2$is
The value of the integral $\int\limits_{0}^{\frac{\pi}{2}} log \left(tan\,x\right)dx=$
A new system of units is evolved in which the values of $\mu_0$ and $\epsilon_0$are 2 and 8 respectively. Then the speed of light in this system will be

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

A potential difference of 300 V is applied to a combination of 2.0µF and 8.0µF capacitors connected in series. The charge on the 2.0µF capacitor is:
Name the complex Ni(PF)
The tendencies of the electrodes made up of Cu, Zn and Ag to release electrons when dipped in their respective salt solutions decrease in the order
Two point charges \( +4 \mu C \) and \( -2 \mu C \) are separated by a distance of 1 m. Then, the distance of the point on the line joining the charges, where the resultant electric field is zero, is (in metre):
Figure shows a triangular array of three point charges. The electric potential \( V \) of these source charges at the midpoint \( P \) of the base of the triangle is:

A current of 5A is passing through a metallic wire of cross-sectional area \( 4 \times 10^{-6} \, m^2 \). If the density of the charge carriers in the wire is \( 5 \times 10^{22} \, m^{-3} \), the drift speed of the electrons will be:
The series combination of two capacitors shown in the figure is connected across 1000V. The magnitude of the charges on the capacitors will be:
Three resistances of values 2Ω, 3Ω, and 6Ω are to be connected to produce an effective resistance of 4Ω. This can be done by connecting:
The resistance of a field cold measures 50Ω at 20°C and 53Ω at 70°C. The temperature coefficient of resistance is:
The electrolyte used in Leclanché cell is:
In a tangent galvanometer, a current of 1A is required to produce a deflection of 60° is:
A circular coil of radius 40 cm consists of 250 turns of wire in which the current is 20mA. The magnetic field in the center of the coil is:
The RMS value of AC is:
The LCR circuit becomes extremely sharp in resonance when: