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The length of subtangent corresponding t...

The length of subtangent corresponding to the point (3,12/5) on the ellipse is 16/3. Then the eccentricity is

Text Solution

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`(3x)/a^2+(12y)/(5b^2)=1`
`x=a^2/3`
`a^2/3-3=16/3`
`a^3/3=16/3+3`
`a^2=3(16+9)/3`
`a=5`
`a/25+12/5b^2=1`
`12/5b^2=1-a/25`
...
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