Question

The equation $|z-i|=|z-1|,i=\sqrt{-1}$ , represents:

• A. the line through the origin with slope -1.
• B. a circle of radius 1.
• C. a circle of radius $\frac{1}{2}$
• D. the line through the origin with slope -1

Answer 1

Answer: (D)

$|z-i|=|z-1|$
$y=x$