Consider the following four pairs of line in Column I and match them with one or more…

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · ISC

Problem

Consider the following four pairs of line in Column I and match them with one or more entries in Column II.

Column I	Column II
(A) $L_1: x = 1 + t, y = t, z = 2 - 5t$ <br> $L_2: r = (2, 1, -3) + \lambda(2, 2, -10)$	(p) non-coplanar lines
(B) $L_1: \frac{x-1}{2} = \frac{y-3}{2} = \frac{z-2}{-1}$ <br> $L_2: \frac{x-2}{1} = \frac{y-6}{-1} = \frac{z+2}{-1}$	(q) lines lie in a unique plane
(C) $L_1: x = -6t, y = 1 + 9t, z = -3t$ <br> $L_2: x = 1 + 2s, y = 4 - 3s, z = s$	(r) infinite planes containing both the lines
(D) $L_1: \frac{x}{1} = \frac{y-1}{2} = \frac{z-2}{3}$ <br> $L_2: \frac{x-3}{-4} = \frac{y-2}{-3} = \frac{z-1}{2}$	(s) lines are not intersecting at a unique point