If (4, 3) and (12, 5) are the two foci of an ellipse passing through the origin…

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If (4, 3) and (12, 5) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is

1
2
3
4

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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ashna kumari , study
Commented Jul 29 , 2025

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