If a and c are positive real number and the ellipse `x^2/(4c^2)+y^2/c^2=1` has four distinct points in common with the circle `x^2+y^2=9a^2`, then

If a and c are positive real number and ellipse (x^(2))/(4c^(2))+(y^(2))/(c^(2))=1 has four distinct points in comman with the circle x^(2)+y^(2)=9a^(2), then (A) 6ac+9a^(2)-2c^(2)>0(B)6ac+9a^(2)-2c^(2) 0(D)6ac-9a^(2)-2c^(2)<0

If and c are positive real number and the ellipse (x^(2))/( 4c^(2)) +(y^(2))/( c^(2)) = 1 has four distinct points in the common with circle x^(2) + y^(2) =9a^(2) then

The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the real and distinct points if and only if

The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

The circle x^2+y^2=c^2 contains the ellipse x^2/a^2+y^2/b^2=1 if

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

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

The straight line y=mx+c cuts the circle x^2+y^2=a^2 at real points if

If y=4x+c is a tangent to the circle x^(2)+y^(2)=9 , find c.