JEE-Mains 2015 (2/30)

Algebra Level 4

A complex number \(z\) is said to be unimodular if \(|z|=1.\) Suppose \(z_1\) and \(z_2\) are complex numbers such that \(\dfrac{z_1-2z_2}{2-z_1\bar{z_2}}\) is unimodular and \(z_2\) is not unimodular. Then the point \(z_1\) lies on a :

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