Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the angle between the line x = 
= 
and the plane x + 2y + 3z = 4 is cos –1 
, then λ equals:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
.......
x + 2y + 3z = 4 .......
Angle between the line and plane is
cos (90° – θ ) = 
⇒ sin θ = 
.......
But given that angle between line and plane is
θ = cos –1 
= sin –1 
⇒ sin θ = 
∴ from
= 
⇒ 9(5 + λ 2 ) = 25 + 9 λ 2 + 30 λ
⇒ 30 λ = 20
λ = 
Ans.
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