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locus represented by |z-1|=|z+i| is :...

locus represented by `|z-1|=|z+i|` is :

A

a circle of radius 1

B

an ellipse with foci at 1 and `-i`

C

a line passing through the origin

D

a circle on the line joining 1 and `-i` as diameter

Text Solution

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The correct Answer is:
C
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