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

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 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 ab is 4 (b) 2 (c) 1 (d) none of these

If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with slope m is a normal to the circle x^(2)+y^(2)+4x+1=0, then the maximum value of ab is (A)2m(B)4m(C)m(D)6m

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

If a tangent of slope is 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 4 (b) 2 (c) 1 (d) none of these

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 4 (b) 2 (c) 1 (d) none of these

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 4 (b) 2 (c) 1 (d) none of these

If a tangent of slope (1)/(3) of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) is normal to the circle x^(2)+y^(2)+2x+2y+1=0 then