Find the equation of the ellipse in the ...

Find the equation of the ellipse in the standard form given
(i) latus rectum = 4 and distance between foci is `4sqrt(2)`
(ii) distance between foci is 8 and the distance between directrices is 32

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The correct Answer is:

`(i) x^(2)+2y^(2)=16`
`(ii)3x^(2)+4y^(2)=192`

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