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A complex number z is said to be uni-mod...

A complex number z is said to be uni-modular if `|z|=1`. Suppose `z_(1)` and `z_(2)` are complex numbers such that `(z_(1)-2z_(2))/(2-z_(1)z_(2))` is uni-modular and `z_(2)` is not uni-modular. Then the point `z_(1)` lies on a:

A

straight line parallel to x-axis

B

straight line parallel to y-axis

C

circle of radius 2

D

circle of radius `sqrt(2)`.

Text Solution

Verified by Experts

The correct Answer is:
C
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