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If z1, z2, z3 are distinct nonzero compl...

If `z_1, z_2, z_3` are distinct nonzero complex numbers and `a ,b , c in R^+` such that `a/(|z_1-z_2|)=b/(|z_2-z_3|)=c/(|z_3-z_1|)` Then find the value of `(a^2)/(|z_1-z_2|)+(b^2)/(|z_2-z_3|)+(c^2)/(|z_3-z_1|)`

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