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If the length of the major axis of an el...

If the length of the major axis of an ellipse is `17/8` times the length of the minor axis, then the eccentricity of the ellipse is

A

`8/17`

B

`15/17`

C

`9/17`

D

`(2sqrt(2))/17`

Text Solution

Verified by Experts

The correct Answer is:
B
According to the question ltbgt `2a=17/8 . 2 bimpliesa=17/8b`
`:'b^(2)=a^(2)(1-e^(2))`
`implies b^(2)=289/64b^(2)(1-e^(2))`
`implies 1-e^(2)=64/289impliese^(2)=225/289`
`:.e=15//17`
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