List of practice Questions

The range of the function $f(x)= \sin [x],-\frac {\pi}{4} < x < \frac {\pi}{4}$ where $[x]$ denotes the greatest integer $\leq x$, is ________

The angle between the lines $\sin^2 \alpha \cdot y^2 - 2xy \cdot \cos^2 \alpha + (\cos^2 \alpha - 1)x^2 = 0$, is

The equation of the tangent to the parabola $y^2 = 4x$ inclined at an angle of $\frac{\pi}{4}$ to the $+ve$ direction of $x$-axis is

Which of the following structure is similar to graphite?

Match the following list of animals with their level of organization. 

Choose the correct match showing the division of labor with animal example.

Which one of the following sets of ions represents the collection of isoelectronic species ?

The process of zone refining is used in the purification of

In the circuit diagram ,heat produces in $R, 2R$ and $1.5 \,R$ are in the ratio

A rectangular coil of $100$ turns and size $0.1 \,m \times 0.05\, m$ is placed perpendicular to a magnetic field of $0.1 \,T$. If the field drops to $0.05 \,T$ in $0.05$ second, the magnitude of the e.m.f. induced in the coil is

In a lift moving up with an acceleration of $5\,ms^{-2}$ a ball is dropped from a height of $1.25\,m$ .The time taken by ball to reach the floor of the lift is........(nearly)$(g=10\, ms^{-2})$

The values of $K_{sp}$ of $CaCO_3$ and $CaC_2O_4$ are $4.7 \times 10^{-9}$ and $1.3 \times 10^{-9}$ respectively at $25�C$. If the mixture of these two is washed with water, what is the concentration of $Ca^{2+}$ ions in water?

If $\frac {(x+1)^2}{x^3+x}=\frac {A}{x}+\frac {Bx+C}{x^2+1}$, then $\sin^{-1} \,A + \tan ^{-1} \,B + sec ^{-1} \,C$ is equal to

$0.1\,m^{3}$ of water at $80\,^\circ$C is mixed with $0.3\,m^3$ of water at $60\,^\circ$C. The final temperature of the mixture is

The diagram given below denotes the various parts of a typical flower. Identify the labelled parts A, B, C and D and choose the correct option :

An example for a neutral buffer is

Which of the following cations will have minimum flocculation value for arsenic sulphide sol ?

The stability of a Lyophobic colloid is due to

Mesomeric effect involves

In an unbiased $p-n$ junction, holes diffuse from the $p$-region to $n$-region because of

A wave travelling in the $+ve$ $x-direction$ having displacement along $y$-direction as $1m$, wavelength $2 \pi m$ and frequency of $ \frac{1}{\pi} Hz$ is represented by :

$XeF_2$ is isostructural with:

Which one of the following molecules contains no $\pi$ bond ?

Which of the following is a polar molecule ?

If the value of $C_0 + 2 \cdot C_1 + 3 \cdot C_2 + \dots+ (n+1) \cdot C_n=576$ ,then n is equal to