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Z(1), Z(2),......,Z(6) are non-zero comp...

`Z_(1), Z_(2),......,Z_(6)` are non-zero complex number such that `(Z_(1))/(Z_(2))+(Z_(3))/(Z_(4))+(Z_(5))/(Z_(6))=a+bi,` where `a,b` real and `(Z_(2))/(Z_(1))+(Z_(4))/(Z_(3))+(Z_(6))/(Z_(5))=0` then `((Z_(2))/(Z_(2)))^(2)+((Z_(3))/(Z_(4)))^(2)+((Z_(5))/(Z_(6)))^(2) =`

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