MathematicsMedium53×since 2002Q3272If z1,z2z_1, z_2z1,z2 are two distinct complex number such that ∣z1−2z212−z1zˉ2∣=2\left|\frac{z_1-2 z_2}{\frac{1}{2}-z_1 \bar{z}_2}\right|=221−z1zˉ2z1−2z2=2, thenAeither z1z_1z1 lies on a circle of radius 12\frac{1}{2}21 or z2z_2z2 lies on a circle of radius 1.Bz1z_1z1 lies on a circle of radius 12\frac{1}{2}21 and z2z_2z2 lies on a circle of radius 1.Ceither z1z_1z1 lies on a circle of radius 1 or z2z_2z2 lies on a circle of radius 12\frac{1}{2}21.Dboth z1z_1z1 and z2z_2z2 lie on the same circle.Check answerSkip