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CGP EDU Academic Team
Published on: August 14, 2026
If (-4, 1) and (6, 1) are the vertices of an ellipse and one of its foci lies on the line x - 2y = 2, then its eccentricity is
Text Solution
Verified by ExpertsThe correct answer is:
D
From the given data major axis is parallel to x-axis centre
= ( α α , β β ) = mid point of A(-4, 1) and A’(6, 1) = (1, 1).
AA 1 = 10 = 2a ⇒ ⇒ a = 5
∴ ∴ one of the focus ( α α + ae, β β ) = (1+5e, 1) lies on the line x – 2y=2 ⇒ ⇒ 1+5e-2= 2
e = 3/5
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