question_answer

The equation\[|z-i|=|z-1|,i=\sqrt{-1},\]represents:              [JEE Main Held on 12-4-2019 Morning]

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.

Correct Answer: D

Solution :

\[|z-i|=|z-1|\]\[y=x\]