Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The direction cosines
, m and n of two lines are connected by the relations
+ m + n = 0 and
m=0, then the angle between the lines is
Text Solution
Verified by ExpertsThe correct answer is:
A

Given,
+ m + n = 0 ...(i)
and
m = 0
i.e. either m = 0 or
= 0
If
= 0, then putting in equation (i), we get m = - n
Direction ratios are 0, - n, n i.e. 0, -1,1
If m = 0 , then putting in equation (i), we get
= -n
Direction ratios are - n, 0, n i.e. -1,0,1


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 distance between the point (-1, -5, -10) and the point of intersection of the line with the pl…
Let and be three non-zero non-coplanar vectors and and be three vectors defined as
and
If the…
If the image of the point P (1, -2,3) in the plane 2x + 3y - 4z + 22 = 0 measured parallel to the l…
If the planes x - cy -bz = 0, cx - y + az = 0 and bx + ay- z = 0 pass through a straight line, then…
Let P (1,2, 3) be a point in space and Q be a point on the line such that PQ is parallel to 5x - 4…
If the length of the projection of the line segment joining the points (1,2, -1) and (3 ,5, 5) on t…