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A,B and C are the points respectively th...

A,B and C are the points respectively the complex numbers `z_(1),z_(2)` and `z_(3)` respectivley, on the complex plane and the circumcentre of `/_\ABC` lies at the origin. If the altitude of the triangle through the vertex. A meets the circumcircle again at P, prove that P represents the complex number `(-(z_(2)z_(3))/(z_(1)))`.

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