Questions
If a line makes angles with coordinate axes respectively, then the value of
a
12
b
32
c
-12
d
-13
detailed solution
Correct option is D
If α,β,γ are the angles made by a line with axes in the positive direction then cos2α+cos2β+cos2γ=1 and sin2α+sin2β+sin2γ=1And consider the expressioncos2α+cos2β+cos2γUse the trigonometry identity cos2α=2cos2α−1It implies that cos2α+cos2β+cos2γ=2cos2α+cos2β+cos2γ−3=−1 Therefore, ∑cos2α∑cos2α+∑sin2α=−11+2=−13Talk to our academic expert!
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The dc’s of the line passing through P and the origin are
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