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 `[4,5]` (b) `(-oo,2)uu(3,oo)` `(-oo,0)` (d) `[2,3]`

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]

The line x=at^(2) meets the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in the real points if

If the ellipse (x^(2))/(4)+(y^(2))/(1)=1 meets the ellipse (x^(2))/(1)+(y^(2))/(a^(2))=1 in four distinct points and a=b^(2)-10b+25, then the number of integral values of b is 32.43.64.15. infinite

Suppose the ellipse x^2/2+y^2=1 and the ellipse x^2/5+y^2/a^2=1 where a^2=b^2-8b+13 intersect in four distinct points, then number of integral values of b is