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If AB and CD are two focal chords of the...

If `AB and CD` are two focal chords of the parabola `y^2 = 4ax`, then the locus of point of intersection of chords `AC and BD` is the directrix of the parabola. Statement 2: If `(at^2_1, 2at_1) and (at^2_2, 2at_2)` are the ends of a focal chord of the parabola `y^2 = 4ax`, then `t_1 t_2 = -1`.

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