Find the locus of the points of trisection of double ordinate of a parabola `y^(2)=4ax (agt0)`

The locus of the points of trisection of the double ordinates of the parabola y^2 = 4ax is : (A) a straight line (B) a circle (C) a parabola (D) none of these

The locus of the points of trisection of the double ordinates of a parabola is a a. pair of lines b. circle c. parabola d. straight line

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

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

The ordinates of points P and Q on the parabola y^2=12x are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

The locus of the trisection point of any arbitrary double ordinate of the parabola x^(2)=4y , is

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

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)

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