Suppose \( A(a), B(b) \) lie on the unit circle \( |z|=1 \). If \( ...

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Suppose \( A(a), B(b) \) lie on the unit circle \( |z|=1 \). If \( \omega \) is a complex number such that \( \bar{\omega}=\frac{b+a-\omega}{a b} \), then \( P(\omega) \) lies on
(a) chord \( A B \)
(b) perpendicular bisector of chord \( A B \)
(c) unit circle \( |z|=1 \)
(d) the circle \( |z|=1 / 2 \)
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