Q. A point $P$ which represents a complex number $z$ moves such that $\left| z - z_{1} \right| = |z - z_{2}|$, then its locus is
A) A circle with centre $z_{1}$
B) A circle with centre $z_{2}$
C) A circle with centre $z$
D) Perpendicular bisector of line joining $z_{1}$ and $z_{2}$
Explanation
(d)
Given, $\left| z - z_{1} \right| = |z - z_{2}|$
It is perpendicular bisector of line joining $z_{1}$ and $z_{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.