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P(t(1))andQ(t(2)) are points t(1)andt(2)...

`P(t_(1))andQ(t_(2))` are points `t_(1)andt_(2)` on the parabola `y^(2)=4ax`.
The normals at P and Q meet on the parabola. Show that the middle point of PQ lies on the parabola `y^(2)=2a(x+2a)`.

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