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P(t1) and Q(t2) are the point t1a n dt2 ...

`P(t_1)` and `Q(t_2)` are the point `t_1a n dt_2` on the parabola `y^2=4a x` . The normals at `Pa n dQ` meet on the parabola. Show that the middle point `P Q` lies on the parabola `y^2=2a(x+2a)dot`

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