Prove that the locus of point of intersection of two perpendicular normals to the parabola `y^(2)` = 4ax isl the parabola `y^(2) = a(x-3a)`

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=4ay is .

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

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

The locus of point of intersection of tangents inclined at angle 45^@ to the parabola y^2 = 4x is

The locus of point of intersection of two normals drawn to the parabola y^2 = 4ax which are at right angles is

Find the locus of the point of intersection of two mutually perpendicular normals to the parabola y^2=4ax and show that the abscissa of the point can never be smaller than 3a. What is the ordinate

Show that the locus of the mid-points of all chords passing through the vertices of the parabola y^(2) =4ax is the parabola y^(2)=2ax .

The locus of the point of intersection of the tangents to the parabola y^2 = 4ax which include an angle alpha is

The locus of the intersection points of pair of perpendicular tangents to the parabola x^2-4x + 4y-8=0 . is