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Let za n domega be two complex numbers s...

Let `za n domega` be two complex numbers such that `|z|lt=1,|omega|lt=1a n d|z-iomega|=|z-i omega|=2,t h e nz` equals `1ori` b. `ior-i` c. `1or-1` d. `ior-1`

A

1 or -i

B

-1

C

`I or -i`

D

`omega or omega^(2)` ( where `omega` is the cube root of unity)

Text Solution

Verified by Experts

The correct Answer is:
C
As obtained earlier `omega = pm i`.
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