Normals are drawn to the parabola y^2=4...

Normals are drawn to the parabola `y^2=4ax` at the points A, B, C whose parameters are `t_1, t_2 and t_3`, respectively. If these normals enclose a triangle PQR, then prove that its area is `(a^2)/2(t-t_2)(t_2-t_3)(t_3-t_1)(t_1+t_2+t_3)^2` Also prove that `DeltaPQR=DeltaABC(t_1+t_2+t_3)^2`.

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