If a line makes angles with four diagonals of a cube, then
Explanation for the correct option:
Step 1. Draw the figure of cube according to the question:
From the figure, we can see
Four diagonals of a cube are
Now,
Direction cosines of
Direction cosines of
Direction cosines of
Direct cosines of
Step 2. Let be the direction cosines of the line which makes angle , we get
Hence, option ‘D’ is Correct.