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P, Q are the points \'t1\', \'t2\' on th...

`P, Q` are the points `\'t_1\', \'t_2\'` on the parabola `y^2 = 4ax`. If the normals at `P, Q` meet on the parabola at `R`, show that `T_1 t_2 = 2`. Also find the locus of the mid-point of `PQ`.

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