The chord AB of the parabola y² = 4ax cuts the axis of the parabola at C. IfA = (at², 2at), B = (at². 2at₂), and AC: AB = 1:3, then prove than t₂ + 2t₁ = 0.

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The chord AB of the parabola y² = 4ax cuts the axis of the parabola at C.
IfA = (at², 2at), B = (at²2 2at₂), and AC: AB = 1:3,
then prove than t₂ + 2t₁ 0.
Transcribed Image Text:The chord AB of the parabola y² = 4ax cuts the axis of the parabola at C. IfA = (at², 2at), B = (at²2 2at₂), and AC: AB = 1:3, then prove than t₂ + 2t₁ 0.
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