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The chord A B of the parabola y^2=4a x c...

The chord `A B` of the parabola `y^2=4a x` cuts the axis of the parabola at `Cdot` If `A-=(a t_1^ 2,2a t_1),B-=(a t_2^2,2a t_2)` , and `A C : A B=1:3,` then prove that `t_2+2t_1=0` .

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