If a line makes angles \alpha, \beta, \gamma and \delta with the four diagonals of a cube, then \cos ^2 \alpha+\cos ^2 \beta +\cos ^2 \gamma+\cos ^2 \delta is

CGPET 2012 Solved Paper

Section: Mathematics

Question : 106 of 150

Marks: +1, -0

If a line makes angles α,β,γ and δ with the four diagonals of a cube, then cos2α+cos2β +cos2γ+cos2δ is

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