Parabola | Focal Chord Of Parabola And Its Properties

Focal Chord And Its Properties

Parabola|| Chord OF Parabola|| Focal Chord|| Parametric Equation

Normals of parabola and Director Circle | Tangents and Normals of a parabola | Nomenclature of parabola and Chord of parabola based Questions

Properties of Parabola

Let y^(2)=4ax be a parabola and PQ be a focal chord of parabola.Let T be the point of intersection of tangents at P and Q. Then

Prove that the line joining the orthocentre to the centroid of a triangle formed by the focal chord of a parabola and tangents drawn at its extremities is parallel to the axis of the parabola.

The lengths of the perpendiculars from the focus and the extremities of a focal chord of a parabola on the tangent at the vertex form: