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Question

If a line makes the angle α,β,γ with three dimensional co-ordinate axes respectively, then cos2α+cos2β+cos2γ
  1. -2
  2. -1
  3. 1
  4. 2


Solution

The correct option is B -1
cos2α+cos2β+cos2γ=2cos2α1+2cos2β1+2cos2γ1=2(cos2α+cos2β+cos2γ)3=23=1

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