The shedding of leaves,flowers,or fruits due to a change in the hormonal balance in a plant is referred to as:

The number of common tangents to the circles ${x^2 + y^2 - 4x - 6y - 12 = 0}$ and ${x^2 + y^2 + 6x + 18y + 26 = 0}$ is

$A$ parallel plate capacitor has plate area $A$ and separation $d$. It is charged to a potential difference $V_0$. The charging battery is disconnected and the plates are pulled apart to $3$ times the initial separation. The work required to separate the plates is

The motion of a particle represented by $y = \sin \omega t - \cos \omega t$ is

The point of intersection of the pair of lines represented by $x^2+xy+2y^2-3x+2y+4=0$ is

In an $LC$ circuit,the capacitor has a maximum charge $q_0$. The value of $\left. \frac{di}{dt} \right|_{\max }$ is: