A straight line touches the circle `x^2+y^2=2a^2 `and the parabola `y^2=8ax`. The equation of the line is

. A straight line touches the rectangular hyperbola 9x^2-9y^2=8 and the parabola y^2= 32x . An equation of the line is

. A straight line touches the rectangular hyperbola 9x^2-9y^2=8 and the parabola y^2= 32x . An equation of the line is

find the common tangents of the circle x^2+y^2=2a^2 and the parabola y^2=8ax

A straight line touches the rectangular hyperbola 9x^(2)-9y^(2)=8 and the parabola y^(2)=32x. An equation of the line is

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

Show that the equation of common tangents to the circle x^2 + y^2 = 2a^2 and the parabola y^2 = 8ax are y = +- (x + 2a) .