Question: The equation $|\mathrm{z}-\mathrm{i}|=|\mathrm{z}-1|, \mathrm{i}=\sqrt{-1}$, represents:
the line through the origin with slope $-1$.
a circle of radius 1 .
a circle of radius $\frac{1}{2}$.
the line through the origin with slope $1 .$
Correct Option: , 4
Solution:
$|z-i|=|z-1|$
$y=x$
