If a chord of the parabola touches the parabola . Show that the tangents at its extremities meet on the parabola
Let QR be a chord of the parabola
Let be the point of intersection of the tangent at Q and R to the above equation.
Then QR is the chord of contact of P w.r.t the parabola.
Therefore,the equation of QR is
Given that this equation touches the parabola
Therefore,the locus of P is