Mathematics · Conic Sections
Let P = 2√3√7, 6√7, and let Q, R, and S be three points on the ellipse 9x2 + 4y2 = 36. If the line segments PQ and RS are mutually perpendicular and both pass through the origin, and 1(PQ)2 + 1(RS)2 = pq where p and q are coprime integers, then the value of p + q is:
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