JEE Math Practice Question
A complex number z is said to be unimodular if $$\,\left| z \right| = 1$$. Suppose $${z_1}$$ and $${z_2}$$ are complex numbers such that $${{{z_1} - 2{z_2}} \over {2 - {z_1}\overline {{z_2}} }}$$ 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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