JEE-Mains 2015 (2/30)

Algebra Level 5

A complex number zz is said to be unimodular if z=1.|z|=1. Suppose z1z_1 and z2z_2 are complex numbers such that z12z22z1z2ˉ\dfrac{z_1-2z_2}{2-z_1\bar{z_2}} is unimodular and z2z_2 is not unimodular. Then the point z1z_1 lies on a :

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