MathematicsHard53×since 2002Q3251A complex number z is said to be unimodular if ∣z∣=1\,\left| z \right| = 1∣z∣=1. Suppose z1{z_1}z1 and z2{z_2}z2 are complex numbers such that z1−2z22−z1z2‾{{{z_1} - 2{z_2}} \over {2 - {z_1}\overline {{z_2}} }}2−z1z2z1−2z2 is unimodular and z2{z_2}z2 is not unimodular. Then the point z1{z_1}z1 lies on a :Acircle of radius 2.Bcircle of radius 2{\sqrt 2 }2.Cstraight line parallel to x-axisDstraight line parallel to y-axis.Check answerSkip