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Question

A line makes angles α, β, γ with the positive directions of the axes of reference. The value of cos2α+cos2β+cos2γ is

A
1
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B
2
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C
1
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D
0
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Solution

The correct option is C 1
The value of cos2α+cos2β+cos2γ
=(1+cos2α+1+cos2β+1+cos2γ)3
=2(cos2α+cos2β+cos2γ)3
=23
=1

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