[" Two perpendicular tangents to "y^(2)=4ax" always "],[" intersect on the line,if "]

Two perpendicular tangents to y^(2)=4 a x always intersect on the line

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

The point of intersection of two perpendicular tangents to (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 lies on the circle

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

Statement-1: y+b=m_(1) (x+a) and y+b=m_(2)(x+a) are perpendicular tangents to the parabola y^(2)=4ax . Statement-2: The locus of the point of intersection of perpendicular tangents to a parabola is its directrix.

Statement-1: y+b=m_(1) (x+a) and y+b=m_(2)(x+a) are perpendicular tangents to the parabola y^(2)=4ax . Statement-2: The locus of the point of intersection of perpendicular tangents to a parabola is its directrix.

The locus of the point of intersection of two perpendicular tangents to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , lies on