Mathematics · Conic Sections
Let the ellipse E : x2 + 9y2 = 9 intersect the positive x- and y-axes at points A and B respectively. Let the major axis of E be a diameter of the circle C. Let the line passing through A and B meet the circle C at point P. If the area of the triangle with vertices A, P and the origin O is mn, where m and n are coprime, then m − n is equal to:
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