JEE Advanced 2013 Paper 1 Mathematics Q15

Mathematics

Problem

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}

-\infty<t<\infty

, and

l_2:(3+2s)\hat{i}+(3+2s)\hat{j}+(2+s)\hat{k}

-\infty<s<\infty

. 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)