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For two complex numbers z(1) and z(2) , ...

For two complex numbers` z_(1) and z_(2)` , we have `|(z_(1)-z_(2))/(1-barz_(1)z_(2))|=1`, then

A

both `z_(1) and z_(2)` lie on circle |z|=1

B

`arg(z_(1)/z_(2)) = pi/3`

C

At least one of ` z_(1) and z_(2)` lies on the circle |z|=1

D

`|z_(1)|=2|z_(2)|`

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The correct Answer is:
A
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