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P(x,y) is any point on ellipse 16x^(2)+2...

P(x,y) is any point on ellipse `16x^(2)+25y^(2) =400`. If `F_(1)-=(3,0) and F_(2) -=(-3,0)`, then prove that `PF_(1)+PF_(2)` is constant and find its value .

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