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z(1), z(2) ,z(3) are vertices of a trian...

`z_(1), z_(2) ,z_(3)` are vertices of a triangle `ABC` having area `Delta` satisfies `(z_(3)-z_(1))=(1-i sqrt(3))(z_(2)-z_(1))` and `sqrt(3)|z_(2)-z_(3)|^(2)=k Delta` then value of `k^(2)=`

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