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Prove that the complex numbers z(1),z(2...

Prove that the complex numbers `z_(1),z_(2)` and the origin form an equilateral triangle only if `z_(1)^(2) + z_(2)^(2) - z_(1)z_(2)=0`.

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The correct Answer is:
` rArr z_(1)^(2) + z_(2)^(2) - z_(1) z_(20 = 0 `
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