Question
Question: If (-4, 1) and (6, 1) are the vertices of an ellipse and one of its foci lies on the line x - 2y = 2...
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
A
2/7
B
3/7
C
4/7
D
3/5
Answer
3/5
Explanation
Solution
From the given data major axis is parallel to x-axis centre
= (α, β) = mid point of A(-4, 1) and A’(6, 1) = (1, 1).
AA1 = 10 = 2a ⇒ a = 5
∴ one of the focus (α + ae, β) = (1+5e, 1) lies on the line x – 2y=2 ⇒ 1+5e-2= 2
e = 3/5