A complex number z is said to be unimodular if `abs(z)=1`. Suppose `z_(1)` and `z_(2)` are complex

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