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If A,A^t are ends of major axis and B,B^...

If `A,A^t` are ends of major axis and `B,B^t` are ends of mijor axis of `S=(x^2)/9+(y^2)/4-1=0` then the eccentricity of ellipse touching `S=0` at `A,A^t` and having foci at `B,B^t` is (A) `1/3 sqrt5` (B) `2/3` (C) `2/sqrt5` (D) `2/sqrt13`

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