What is the primary function of the tank circuit in a sinusoidal amplifier, such as a Colpitts oscillator?

Correct option is A

​$$\text{In sinusoidal oscillators such as the \textbf{Colpitts oscillator}, the \textbf{tank circuit (LC circuit)} performs the crucial role of:} \\[6pt] \ \textbf{Determining the oscillation frequency} \\[6pt]\text{The tank circuit consists of inductors and capacitors whose resonant frequency is:} \\[6pt]f_0 = \frac{1}{2\pi \sqrt{LC}} \\[8pt]\text{At this frequency, the circuit provides the required \textbf{positive feedback} and \textbf{sustains sinusoidal oscillations.}}$$​​