Two common tangents to the circle `x^(2) + y^(2) = (a^(2))/(2)` and the parabola `y^(2) = 4ax` are

The equations of the two common tangents to the circle x^(2) +y^(2)=2a^(2) and the parabola y^(2)=8ax are-

The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) and the parabola y^(2)=8 a x is

The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola y^(2)=4ax intersect at the focus of the parabola

Show that the common tangent to the circle 2x^(2)+2y^(2)=a^(2) and the parabola y^(2)=4ax intersect at the focus of the parabola y^(2)=-4ax.

Two common tangents to the circle x^(2)+y^(2)=a^(2) and parabola y^(2)=4a sqrt(2)x are