Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The plane passing through the line L: 
x-y+3(l- 
) z = 1, x+2y - z = 2 and perpendicular to the plane 3x+2y+z = 6 is 3x-8y+7z=4. If 
is the acute angle between the line L and the y-axis, then 415 cos 2 
is equal to_____.
Text Solution
Verified by ExpertsThe correct answer is:
125
(125)
Direction ratio of line 
3x - 8y + 7z = 4 will contain the line 
Normal of 3x - 8y + 7z = 4 will be perpendicular to the line
= 3(6 
- 5) + (3 - 2 
)(-8) + 7(2 
+1) = 0
direction ratio of line 
Angle with y axis
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