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A, B, C are the point representing the c...

A, B, C are the point representing the complex numbers `z_1,z_2,z_3` respectively on the complex plane and the circumcentre of the triangle ABC lies at the origin. If the altitude of the triangle through the vertex A meets the circumcircel again at P, then prove that P represents the complex number `-(z_2z_3)/(z_1)`

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