If z1 and z2 be two distinct complex numbers satisfying |z21−z2 – InterviewSolution

1.	If z1 and z2 be two distinct complex numbers satisfying \|z21−z22\|=\|¯z12+¯z22−2¯z1¯z2\| and if (arg z1−arg z2)=aπb , then the least possible value of \|a+b\|2 is (a,b ∈ I)
Answer» If $z_{1}$ and $z_{2}$ be two distinct complex numbers satisfying $\| z_{1}^{2} - z_{2}^{2} \| = \| {_{1}}^{2} + {_{2}}^{2} - 2_{1}_{2} \|$ and if $(arg z_{1} - arg z_{2}) = \frac{a π}{b}$ , then the least possible value of $\frac{\| a + b \|}{2}$ is $(a, b \in I)$

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