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[" ABCD is a rhombus in the Argand plane...

[" ABCD is a rhombus in the Argand plane.If the affixes of the vertices be "z_(1),z_(2),z_(3),z_(4)" and taken in anti-clockwise "],[" sense and "/_CBA=(pi)/(3)," show that "],[[" (a) "2z_(2)=z_(1)(1+i sqrt(3))+z_(3)(1-i sqrt(3))," (b) "2z_(4)=z_(1)(1-i sqrt(3))+z_(3)(1+i sqrt(3)),,]]

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