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if vertices of an ellipse are (-4,1),(6,...

if vertices of an ellipse are `(-4,1),(6,1)` and `x-2y=2` is focal chord then the eccentricity of the ellipse is

A

`(3)/(5)`

B

`(4)/(5)`

C

`(2)/(5)`

D

`(1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Vertices are (-4,1) and (6,1)
`:. 2a=10`
Centre is (1,1)
Focus is at distance 'ae' from the centre.
Thus, focus is (1+5e,1), which lies x-2y=2
`:. 1+5e-2=2`
`:. e=3//5`
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