Question: Let z and ? be complex numbers such that ? has non-zero imaginary part and z?1. If the expression (?-overline{omega}z)/(1-z) is purely real, then find the set of values of z.
Options
A : {z : |z|=1}
B : {z : z=z?}
C : {z : z?1}
D : {z : |z|=1, z?1}
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