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If A(at1^2, 2at1) and B(t2^2,2at2) be th...

If `A(at_1^2, 2at_1)` and `B(t_2^2,2at_2)` be the two points on the parabola `y^2 = 4ax` and AB cuts the x-axis at C such that `AB : AC = 3: 1`. show that `t_2 = -2t_1` and if AB makes an angle of `90^@` at the vertex, then find the coordinates of A and B.

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