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If the vertices of an equilateral traing...

If the vertices of an equilateral traingle be represented by the complex numbers `z_1`, `z_2`,` z_3` , then prove that `z_1^2+z_2^2+z_3^2=3z_0^2`and `z_0` be the circumcenter of the triangle.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 10-EXERCISE
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