The locus of the Orthocentre of the triangle formed by three tangents of the parabola `(4x-3)^2 =-64(2y+1)` is

The orthocenter of a triangle formed by 3 tangents to a parabola y^(2)=4ax lies on

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) )

Show that the orthocentre of a triangle formed by three tangents to a parabola lies on the directrix.

the orthocentre of the triangle formed by the lines x+y = 1 and 2y^(2)-xy-6x^(2)=0 is

Prove that the orthocentre of the triangle formed by any three tangents to a parabola lies on the directrix of the parabola

Prove that the orthocentre of the triangle formed by any three tangents to a parabola lies on the directrix of the parabola

The locus of centroid of triangle formed by a tangent to the parabola y^(2) = 36x with coordinate axes is