Mathematics · Conic Sections
Let the line 2x + 3y - k = 0, k > 0, intersect the x-axis and y-axis at the points A and B, respectively. If the equation of the circle having the line segment AB as a diameter is x2 + y2 - 3x - 2y = 0 and the length of the latus rectum of the ellipse x2 + 9y2 = k2 is mn, where m and n are coprime, then 2m + n is equal to:
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