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Circles & Conicshard
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Let PPP be a point moving on the ellipse 16x2+25y2=40016x^2 + 25y^2 = 40016x2+25y2=400. If the area of the triangle formed by PPP and the two foci F1F_1F1​ and F2F_2F2​ is maximum, what is the value of this maximum area?