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For any point \( P \) on the ellipse: \( PF_1 + PF_2 = 2a \)
$$OF_1 = \sqrt{(4-0)^2 + (3-0)^2} = \sqrt{25} = 5$$
$$\boxed{e = \dfrac{\sqrt{17}}{9}}$$
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Commented Jul 29, 2025
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