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If P (x,y) be any point on 16x^(2) +...

If P (x,y) be any point on ` 16x^(2) + 25y^(2) = 400` with foci ` F_(1) (3,0) and F_(2) (-3,0)` then ` PF_(1) + PF_(2)` is

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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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