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The chord \( A B \) of the parabola \( y^{2}=4 a x \) cuts the axis of the parabola at \( C \). If \( A \equiv\left(a t_{1}^{2}, 2 a t_{1}\right) \) and \( B \equiv\left(a t_{2}^{2}, 2 a t_{2}\right) \) and \( A C: A B=1: 3 \), then :
P
(a) \( t_{2}=2 t_{1} \)
(b) \( t_{2}+2 t_{1}=0 \)
W
(c) \( t_{1}+2 t_{2}=0 \)
(d) \( 6 t_{1}^{2}=t_{2}\left(t_{1}+2 t_{2}\right) \)
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