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

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

A

circle of radius 2

B

circle of radius `sqrt(2)`.

C

straight line parallel to x-axis

D

straight line parallel to y-axis

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The correct Answer is:
A
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