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In an ellipse, the distances between its...

In an ellipse, the distances between its foci is `6` and minor axis is `8`. Then its eccentricity is

A

`1//2`

B

`4//5`

C

`1/sqrt5`

D

`3//5`

Text Solution

Verified by Experts

The correct Answer is:
D
We have,
`2ae = 6 and 2b = 8 rArr ae = 3 and b = 4`
Now, `b^(2) = a^(2)(1 - e^(2)) rArr 16 = a^(2) - 9 rArr a = 5`
`ae = 3 rArr e = 3/5`
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