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The chord `A B`of the parabola `y^2=4a x`cuts the axis of the parabola at `Cdot`If `A-=(a t1 2,2a t_1),B-=(a t2 2,2a t_2)`, and `A C : A B1:3,`then prove that `t_2+2t_1=0`.A. `t_(2)=2t_(1)`B. `t_(2) +2t_(1) =0`C. `t_(1)+2t_(2)=0`D. None of these |
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Answer» Correct Answer - B `A("at"_(1)^(2), 2"at"_(1)) " and " B("at"_(2)^(2), 2"at"_(2))` are such that `AC : AB 1:3` `:. C((2"at"_(1)^(2)+"at"_(2)^(2))/(3),(4"at"_(1)+2"at"_(2))/(3))` Point C lines on x- axis then `(4"at"_(1)+2"at"_(2))/(3) =0` `rArr t_(2) +2t_(1)=0` |
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