A line l passing through the origin is perpendicular to the lines
`l_(1) : (3+t)hat(i)+(-1+2t)hat(j)+(4+2t)hat(k), -inftylttltinfty`
`l_(2) : (3+2s)hat(i)+(3+2s)hat(j)+(2+s)hat(k), -inftyltsltinfty`
Then, the coordinate(s) of the point(s) on `L_(2)` at a distance of `sqrt(17)` from the point of intersection of l and `l_(1)` is (are)

Options

A. `((7)/(3), (7)/(3), (5)/(3))`
B. `(-1,-1,0)`
C. `(1,1,1)`
D. `((7)/(9), (7)/(9), (8)/(9))`

Answer

B, D