Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a line makes angles 
with the four diagonals of a cube, then the value of
A
1
B
C
Variable
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
Let side of the cube = a
Then OG , BE and AD , CF will be four diagonals.
d.r.’s of OG = a , a , a = 1, 1, 1
d.r.’s of BE = – a , – a , a = 1, 1, –1
d.r.’s of AD = – a , a , a = –1, 1, 1
d.r.’s of CF = a , – a , a = 1, –1, 1
Let d.r.’s of line be l , m , n .
Therefore angle between line and diagonal
⇒ ⇒ 
.
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…