If a|z1−z2|=b|z2−z3|=c|z3−z1|, where a,b,c∈R, then value of a2 – InterviewSolution

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1.	If a\|z1−z2\|=b\|z2−z3\|=c\|z3−z1\|, where a,b,c∈R, then value of a2z1−z2+b2z2−z3+c2z3−z1 is
Answer» If $\frac{a}{\| z_{1} - z_{2} \|} = \frac{b}{\| z_{2} - z_{3} \|} = \frac{c}{\| z_{3} - z_{1} \|}$ , where $a, b, c \in R,$ then value of $\frac{a^{2}}{z_{1} - z_{2}} + \frac{b^{2}}{z_{2} - z_{3}} + \frac{c^{2}}{z_{3} - z_{1}}$ is

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