chord AB of parabola Y²=4aX cut an axis of parabola at C. If A=(at₁²,2at₁) and B=(at₂²,2at₂) and AC:AB=1:3. then?...............

(A)t₂=2t₁

(B)t₂+2t₁=0

(C)t₁+2t₂=0

(D)t₁+t₂=0

Dear Student,
If AC:AB = 1:3,
then C divides AB in the radio 1:2.
Since axis is the x-axis, therfore, the coordinat of C will be zero. Now just apply the section formula only for the y-coordinate and you will get your answer.
Thanks,