Find the coordinates of apoint on the `(x-1)/2=(y+1)/(-3)=z`atg a distance `4sqrt(14)`from the point `(1,-1,0)dot`A. (9,-13,4)B. `(8sqrt14,-12,-1)`C. `(-8sqrt14,12,1)`D. `(-7,11,-4)`

Find the coordinates of apoint on the `(x-1)/2=(y+1)/(-3)=z`atg a dist

1.	Find the coordinates of apoint on the `(x-1)/2=(y+1)/(-3)=z`atg a distance `4sqrt(14)`from the point `(1,-1,0)dot`A. (9,-13,4)B. `(8sqrt14,-12,-1)`C. `(-8sqrt14,12,1)`D. `(-7,11,-4)`
Answer» Correct Answer - D Given equation of line in `(x-1)/(2) = (y +1)/(-3) = z = r` Any point on given lines is `p(2r + 1, -- 3r - 1,r)`, its distance form `(1,-1,0)` `rArr " "(2r)^(2) + (-3r)^(2) + r^(2) = (4 sqrt(14))^(2)` `rArr" "r = pm 4` , `rArr` Coordinates are `R(9,-14,4) and S(-7,11,-4)` and nearer to the origin is `(-7,11,-4)` `[{:(,OR = sqrt((9)^(2) +(-13)^(2) +(4))= sqrt(266)),(,and OS = sqrt((-7)^(2) +11^(2) +(-4)^(2))= sqrt(186)):}]`

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Find the coordinates of apoint on the `(x-1)/2=(y+1)/(-3)=z`atg a distance `4sqrt(14)`from the point `(1,-1,0)dot`A. (9,-13,4)B. `(8sqrt14,-12,-1)`C. `(-8sqrt14,12,1)`D. `(-7,11,-4)`

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