Correct option is A
A synchronous motor can be operated at both leading and lagging power factors by adjusting the field excitation. If the motor is over-excited, it operates at a leading power factor, which means it can supply reactive power to the grid. If it is under-excited, it operates at a lagging power factor. This flexibility makes synchronous motors useful for power factor correction in addition to driving loads.
On the other hand, DC motors and induction motors typically operate at a lagging power factor and do not have this adjustable power factor capability.