The kinetic energy of $SHM$ is $1/n$ times its potential energy. If the amplitude of the $SHM$ is $A$,then what is the displacement of the particle?

The length of the subtangent at any point of the curve $x^m y^n = a^{m+n}$ is proportional to -

$A$ storehouse of collected plant specimens that are dried,pressed,and preserved on sheets is known as .........

$A$ point $P$ moves in a counter-clockwise direction on a circular path as shown in the figure. The movement of $P$ is such that it sweeps out a length $S = t^3 + 5$,where $S$ is in meters and $t$ is in seconds. The radius of the path is $20 \, m$. The acceleration of $P$ when $t = 2 \, s$ is nearly ......... $m/s^2$.

In a $\triangle ABC$,if $\frac{\cos A}{a} = \frac{\cos B}{b} = \frac{\cos C}{c}$,then $\triangle ABC$ is

Match the items of column $I$ with column $II$. Select the correct option from the following:

Column $I$	Column $II$
$(a)$ $XX-XO$ method of sex determination	$(i)$ Turner's syndrome
$(b)$ $XX-XY$ method of sex determination	$(ii)$ Female heterogametic
$(c)$ Karyotype-$45$	$(iii)$ Grasshopper
$(d)$ $ZW-ZZ$ method of sex determination	$(iv)$ Female homogametic