GATE Electrical Engineering (EE) 2017 Shift 2 Solved Paper

The figure shows the per-phase representation of a phase-shifting transformer connected between buses 1 and 2, where α is a complex number with non-zero real and imaginary parts.

For the given circuit Y_bus and Z_bus are bus admittance matrix and bus impedance matrix respectively, each of size 2 × 2. Which one of the following statements is true?