Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The lines 
= i – j + λ (2i + k) and 
= (2i – j) + μ (i + j – k) intersect for
Text Solution
Verified by ExpertsThe correct answer is:
D
The given lines intersect, if the shortest distance between the lines is zero.
We know that the shortest distance between the lines
r = a 1 + ( λ 
) and r = a 2 + λ b 2 is
So the shortest distance between the given lines is zero if
(i – j – (2i – j) . (2i + k) × (i + j – k) = 0
L.H.S. =
= 1 ≠ 0
Hence the given lines do not intersect.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The direction cosines of a line segment are If and the co-ordinates of A are (3, –6, 10), then …
If centroid of the tetrahedron , where are given by ( a , 2, 3),(1, b , 2) and (2, 1, c ) respect…
If , then projection of on the plane is
The points and are
The angle between two diagonals of a cube will be
The equations of the line passing through the point (1,2,–4) and perpendicular to the two lines an…