If \( z_{1} \) and \( z_{2} \) are fixed complex numbers, the locus... VIDEO
If \( z_{1} \) and \( z_{2} \) are fixed complex numbers, the locus of \( z \) so that
\( \mathrm{P} \)
\[
\frac{z-z_{1}}{z-z_{2}}=e^{i \theta}, \quad \theta \in \mathbf{R}
\]
is
(a) a circle
(b) a semicircle
(c) a straight line
(d) perpendicular bisector of segment joining \( z_{1} \) and \( z_{2} \).
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