Parallel RC Circuits For DC?
Sometimes a (fairly large) resistor is placed in parallel to a capacitor to act as a bleeding resistor, i.e. to allow the capacitor to discharge quickly after the power is turned off. 

This is a safety measure for circuits with high capacitance capacitors charged at high voltages (for example, high-power switching power supplies). Without the bleeding resistor the capacitor could retain a fairly large amount of energy at high voltage even after minutes (or hours) from power-off. Servicing such a circuit would be very dangerous, without the bleeding resistors, even when disconnected from mains, because it could deliver deadly electrical shocks to the operator inadvertently touching parts of the circuit.