A line l passing through the origin is perpendicular to the lines l_1: (3 + t) i^{\^} + (-1 + 2t) j^{\^} + (4 + 2t) k^{\^} , -\infty < t < \infty l_2: (3 + 2s) i^{\^} + (3 + 2s) j^{\^} + (2 + s) k^{\^}, -\infty < s < \infty Then, the coordinate(s) of the point(s) on l_2 at a distance of \sqrt17 from the point of intersection of l and l_1 is (are) [JEE Adv 2013 P1]

Three Dimensional Geometry

Section: Mathematics

Question : 23 of 35

Marks: +1, -0

A line l passing through the origin is perpendicular to the lines
l1:(3+t)‌

+(−1+2t)‌

+(4+2t)

, −∞<t<∞
l2:(3+2s)‌

+(3+2s)‌

+(2+s)

, −∞<s<∞
Then, the coordinate(s) of the point(s) on l2 at a distance of √17 from the point of intersection of l and l1 is (are)

[JEE Adv 2013 P1]

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