A) (10, 7, 7)
B) (14, 0, 5)
C) (86, 25, 41)
D) None of these
Correct Answer: D
Solution :
The equation of a line passing through the points\[A(2,-3,-1)\]and\[B(8,-1,2)\]is \[\frac{x-2}{6}=\frac{y+3}{2}=\frac{z+1}{3}\] \[\Rightarrow \] \[\frac{x-2}{6/7}=\frac{y+3}{2/7}=\frac{z+1}{3/7}\] \[\therefore \]Coordinates of points on this line at a distance from A are given by \[\left\{ 2\pm \frac{6r}{7},-3\pm \frac{2r}{7},-1\pm \frac{3r}{7} \right\}\] On putting\[r=14,\]we get the required points as (14,1,5)and\[(-10,-7,-7)\].You need to login to perform this action.
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