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$If (1,1) and (6, 1) are the vertices of an ellipse and one of whose foci lies on x - 2y = 2 then the eccentricity of ellipse is$

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detailed solution

Correct option is A

Vertices are (−4,1) and (6,1) . ∴ 2a=10Centre is (1, 1). Focus is at distance 'ae' from the centre.∴ Focus (1+5e,1), which lies on x−2y=2∴ 1+5e−2=2∴ e=3/5

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