If the ellipse (x^2)/4+y^2=1 meets the e...

If the ellipse `(x^2)/4+y^2=1` meets the ellipse `x^2+(y^2)/(a^2)=1` at four distinct points and `a=b^2-5b+7,` then `b` does not lie in (a) `[4,5]` (b) `(-oo,2)uu(3,oo)` (c) `(-oo,0)` (d) `[2,3]`

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