Find the regions of the z-plane for which $\displaystyle \left | \frac{z - a}{z + \overline a} \right | < 1, = 1$ or $> 1$. when the real part of a is positive.

The required regions are the right half of the z-pane, the imaginary axis and the left half of the z-plane respectively.

The required regions are the left half of the z-pane, the imaginary axis and the right half of the z-plane respectively.

The required regions are the right half of the z-pane the real axis and the left half of the z-plane respectively.

The required regions are the left half of the z-pane the real axis and the right half of the z-plane respectively.