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The number of complex numbers z such tha...

The number of complex numbers `z` such that `|z-1|=|z+1|=|z-i|` is

A

2

B

`infty`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Clearly, z=0 satisfies
`|z-1|=|z+1|=|z-i|`
Hence, z takes only one value.
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