The centroid of the triangle formed by the feet of three normals to the parabola `y^2=4ax`

The algebraic sum of the ordinates of the feet of 3 normals drawn to the parabola y^2=4ax from a given point is 0.

Assertion (A) : Orthocentre of the triangle formed by any three tangents to the parabola lies on the directrix of the parabola Reason ® : The orthocentre of the triangle formed by the tangents at t_1, t_2 ,t_3 to the parabola y^(2) =4ax is (-a ( t_1+t_2+t_3+t_1t_2t_3) )

The algebraic sum of the ordinates of the feet of 3 normals drawn to the parabola y^(2)=4ax from a given point is 0.

The normal at a point on the parabola y^(2) = 4x passes through (5,0) . If two more normals to this parabola also pass through(5,0) , then centroid of the triangle formed by the feet of these three normal is

The ordinates of the feet of three normals to the parabola y^(2)=4ax from the point (6a,0) are