List of practice Questions

If $\alpha, \beta, \gamma$ are the roots of $x^{3}+4 x+1=0$, then the equation whose roots are $\frac{\alpha^{2}}{\beta+\gamma}, \frac{\beta^{2}}{\gamma+\alpha},\,\frac{\gamma^{2}}{\alpha+\beta}$ is

A simple pendulum is executing SHM with a period of 6 s between two extreme positions B and C about a point O. If the length of the arc BC is 10 cm, how long will the pendulum take the move from position C to a position D towards O exactly midway between C and O?

For the reaction $N _{2}( g )+ O _{2}( g ) \rightleftharpoons 2 NO ( g )$ the equilibrium constant is $K _{1}$. The equilibrium constant is $K _{2}$ for the reaction $2 NO ( g )+ O _{2}( g ) \rightleftharpoons 2 NO _{2}( g ) .$ What is $K$ for the reaction $NO _{2}( g ) \rightleftharpoons 1 / 2 N _{2}( g )+ O _{2}( g ) ?$

The number of subsets of $\{1, 2, 3 ,............,9\}$ containing at least one odd number is

For $|x|<1$, the constant term in the expansion of $\frac{1}{(x-1)^{2}(x-2)}$ is

One of the synthetic auxin is

Oxygenic photosynthesis occurs in

TAB vaccine is useful against

An example of axile placentation is

Which one of the following has maximum genetic diversity in India ?

When two sinusoidal waves moving at right angle to each other superimpose, they produce

The percentage (by weight) of sodium hydroxide in a $ 1.25 $ molal $ NaOH $ solution is

$p$ points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is

A binary sequence is an array of $0's$ and $1's$. The number of $n$ -digit binary sequences which contain even number of $0's$ is

The volume of mercury in the bulb of a thermometer is $ {{10}^{-6}}{{m}^{3}} $ . The area of cross- section of the capillary tube is $ 2\times {{10}^{-7}}{{m}^{2}}. $ If the temperature is raised by $ 100{}^\circ C $ , the increase in the length of the mercury column is $ \left( {{\gamma }_{Hg}}=18\,\times \,{{10}^{-5}}{{/}^{0}}C \right) $

Match the following.

Let $f(x)=x^{2}+a x +b,$ where $a, b \in R .$ If $f(x)=0$ has all its roots imaginary, then the roots of $f(x)+f'(x)+f''(x)=0$ are

The number of subsets of $\{1,2,3, \ldots, 9\}$ containing at least one odd number is

When a glass lens with n = 1.47 is immersed in a trough of liquid, it looks to be disappeared. The liquid in the trough could be

Point mutation involves

Stroma in the chloroplasts of higher plant contains

Match the following columns.

Match the following with reference to cockroach and choose the correct option

Match the following lists: The correct answer is

Match the following