The locus of the point of intersection of the perpendicular tangents to the parabola `x^2=4ay` is .

The locus of the point of intersectio of the perpendicular tangents to the parabola x^(2)=4ay is

The ,locus of the point of intersection of two perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of the perpendicular tangents to the parabola x^(2)-8x+2y+2=0 is

The locus of the point of intersection of perependicular tangent of the parabola y^(2) =4ax is

Show that the locus of point of intersection of perpendicular tangents to the parabola y^2=4ax is the directrix x+a=0.