The resonant frequency of a parallel tuned circuit is given by

A capacitor and coil or LC circuit in parallel resonant circuit is called a tuned or tank circuit.

They are used in tuner circuit to generate signals of a particular frequency or picking up signals of a particular frequency.

At Resonance:

X_c = X_L

The resonant frequency of a parallel tuned circuit is given by:

If an LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R.

The resonant frequency of the tank circuit is