If a line makes angles α,β and γ with the coordinate axes, then
cos2α+cos2β+cos2γ–1=0
cos2α+cos2β+cos2γ–2=0
cos2α+cos2β+cos2γ+1=0
cos2α+cos2β+cos2γ+3=0
Explanation for the correct option:
Given, The line makes angles α,β and γ with coordinate axis
∴l2+m2+n2=1
⇒cos2α+cos2β+cos2γ=1 ….(1)
Now,
cos2α+cos2β+cos2γ=2cos2α-1+2cos2β-1+2cos2γ-1=2cos2α+cos2β+cos2γ-3=21-3=-1
∴cos2α+cos2β+cos2γ+1=0
Hence, Option ‘C’ is Correct.