The common Indian bullfrog is:

If one end of the diameter is $(1, 1)$ and the other end lies on the line $x + y = 3$,then the locus of the centre of the circle is

As the switch $S$ is closed in the circuit shown in the figure,the current passing through it is ................ $A$.

$A$ parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$. Another capacitor of capacitance $2C$ is connected to another battery and is charged to potential difference $2V$. The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

Pressure inside two soap bubbles are $1.02 \,atm$ and $1.05 \,atm$ respectively. The ratio of their surface area is .........

The height to which a cylindrical vessel must be filled with a homogeneous liquid,so that the average force with which the liquid presses the side of the vessel is equal to the force exerted by the liquid on the bottom of the vessel,is equal to: