The hybrids are generally found to be superior to their parents; this is because of:

The equation of the pair of straight lines parallel to the $X$-axis and touching the circle $x^2+y^2-6x-4y-12=0$ is:

Identify the final product $Y$ in the following reaction sequence:
$CH_2 = CH_2$ $\xrightarrow{O_2/Ag} X$ $\xrightarrow{473 \ K} Y$

Leaf blade is spinous in case of

Two long conductors,separated by a distance $d$,carry currents $I_1$ and $I_2$ in the same direction. They exert a force $F$ on each other. Now,the current in one of them is increased to two times its original value and its direction is reversed. The distance between them is also increased to $3d$. The new value of the force between them is

The degree of the differential equation $\frac{d^2y}{dx^2} + 3\left[ \frac{dy}{dx} \right]^2 = x^2 \log \left[ \frac{d^2y}{dx^2} \right]$ is