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If the ellipse x^2/9+y^2=1 meets the el...

If the ellipse `x^2/9+y^2=1` meets the ellipse `x^2+y^2/a^2=1` in four distinct points and `a=r^2-11r+29` then `r` does not lie in (A) `(-oo,-4)uu(7,oo)` (B) `[10,13]` (C) `(-oo,0)` (D) `[4,7]`

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