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 lies in

A

(1,4)

B

`(-infty,2)cup(3,infty)`

C

`(2,3)`

D

None of these

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The correct Answer is:

B

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