If z1 is a complex number other than −1 such that z1=1 and z2=z1-1z1 – InterviewSolution

1.	If z1 is a complex number other than −1 such that z1=1 and z2=z1-1z1+1, then show that the real parts of z2 is zero.
Answer» If z₁ is a complex number other than −1 such that $\|z_{1}\| = 1$ and $z_{2} = \frac{z_{1} - 1}{z_{1} + 1}$ , then show that the real parts of z₂ is zero.

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