Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The direction cosines of three lines passing through the origin are 
and 
. The lines will be coplanar, if
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Here, three given lines are coplanar if they have common perpendicular
Let d.c.'s of common perpendicular be 
⇒ ⇒ 
…..(i)
…..(ii)
and 
…..(iii)
Solving (ii) and (iii), we get
⇒ ⇒ 
Substituting in (i), we get
– 
.
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