Step 1: Definition of FM transmitter frequency.
The frequency of an FM transmitter without a signal input is the carrier frequency, which is the central frequency of the transmission.
Step 2: Explanation.
When there is no input signal, the transmitter operates at the center frequency, and modulation or frequency deviation occurs only when the signal is applied.
Final Answer:
\[
\boxed{\text{A) the center frequency}}
\]