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The equation |z-i|=|x-1|, i=sqrt(-1), re...

The equation `|z-i|=|x-1|, i=sqrt(-1)`, represents :

A

the line through the origin with slope `-1`

B

a circle of radius `(1)/(2)`

C

a circle of radius 1

D

the line through the origin with slope 1

Text Solution

Verified by Experts

The correct Answer is:
D
`|z-i|=|z-1|` is the right bisector of the line joining points `(0,i) and (1,0)` i.e., `y=x` i.e., `y=x`
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