Two identical ladders, each of mass M and length L are resting on the rough horizontal surface as shown in the figure. A block of mass m hangs from P. If the system is in equilibrium, find the magnitude and the direction of frictional force at A and B.

Options

A. `[(M+m)g/2]cot theta`
B. `[(M-m)g/2]cot theta`
C. `[(M-m)g/2]tan theta`
D. `[(M+m)g/2]tan theta`