A complex number z is said to be unimodular, if |z|=1. If and z1 and z – InterviewSolution

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1.	A complex number z is said to be unimodular, if \|z\|=1. If and z1 and z2 are complex numbers such that z1−2z22−(z1¯z2) is unimodular and z2 is not unimodular. Then, the point z1 lies on a
Answer» A complex number z is said to be unimodular, if $\| z \| = 1$ . If and $z_{1}$ and $z_{2}$ are complex numbers such that $\frac{z_{1} - 2 z_{2}}{2 - (z_{1}_{2})}$ is unimodular and $z_{2}$ is not unimodular. Then, the point $z_{1}$ lies on a

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