[" If a tangent of slope "2" of the ellipse "],[(x^(2))/(a^(2))+(y^(2))/(1)=1" passes through the point "],[(-2,0)" then the value of "a^(2)" is equal to "]

If a tangent of slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is the normal to the circle x^(2)+y^(2)+4x+1=0 then the maximum value of a.b is equal to

If a tangent of slope 4 of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is normal to the circle x^(2)+y^(2)+4x+1=0 then the maximum value of ab is

A tangent of slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(1)=1 passes through (-2, 0) . Then, three times the square of the eccentricity of the ellipse is equal to

A tangent of slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(1)=1 passes through (-2, 0) . Then, three times the square of the eccentricity of the ellipse is equal to

If a tangent having slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is normal to the circle x^(2)+y^(2)+bx+1=0 , then the vlaue of 4a^(2)+b^(2) is equal to

If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is

If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is

A tangent of slope 2 to the ellipse (x^(2))/(36)+(y^(2))/(49)=1 has an intercept on the y-axis of length