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,` th
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
4 views
1 Answers
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`
4 views
Answered