List of practice Questions

Which one of the following statements is not correct?

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse $x^2 + 9y^2 = 9$ meets its auxiliary circle a t the point M. Then, the area (insqunits) of the triangle with vertices at A, M and the origin O is

The atom of smallest atomic radius among the following is

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 $NO _{2}( g ) \rightleftharpoons 1 / 2 N _{2}( g )+ O _{2}( g ) ?$

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

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

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

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

Match the following.

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

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

Match the following

Match the following

Match the following and choose the correct option