Tap-changing and regulating transformers maintains a constant voltage with off-loading turns ratio C, shown in figure 1. A Changing turn ratio and voltage regulation correspond to a change in turn-ratio C. The method of power flow standpoint determines the voltage magnitude and phase angles within prescribed limits.
Therefore,Tap-changing and voltage-magnitude-regulating transformers are used to control bus voltages and reactive power flows on lines to which they are connected.
Transformer connections with off-load turns ratio are shown in figure 1.
Draw a circuit diagram of Transformer with off-nominal turns ratio.

Draw a circuit diagram of represented as two Transformers in series.

Draw a circuit diagram of Per-unit equivalent circuit of per unit impedance.

Draw a circuit diagram of circuit representation for real c (per-unit admittance is shown:

Therefore, the correct answer is true thattap-changing and voltage-magnitude-regulating transformers are used to control bus voltages and reactive power flows on lines to which they are connected.
Therefore, the correct answer is (a) true.