A geometry problem by Utkarsh Kumar

Geometry Level pending

In a A B C , A B = A C \triangle ABC, AB=AC .The altitude A D AD of the triangle meets the circumcircle at P P . If the ratio of A P B C : A B B P AP \cdot BC\ : AB \cdot BP is x : y x : y then find x 10 + y 10 x^{10} + y^{10}


The answer is 1025.

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