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A complex number z is said to be unimodu...

A complex number z is said to be unimodular if `|z|=1`. Suppose `z_(1) and z_(2)` are complex numbers such that `(z_(1)-2z_(2))/(2-z_(1) bar(z)_(1))` is unimodular and `z_(2)` is non-unimodular. 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 `sqrt2`

Text Solution

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The correct Answer is:
C
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