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An ellipse frac{x^2}{a^2}+frac{y^2}{b^2}...

An ellipse `frac{x^2}{a^2}+frac{y^2}{b^2}=1` (a> b) whose eccentircity is `frac{1}{sqrt 2}` and passes through the focus of the parab whose vertex is (2, 3) and directrix is `2x + y - 6 = 0` then the length of the latus rectum of ellipse is

A

`385/8`

B

`347/8`

C

`512/25`

D

`656/25`

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