Questions
A line makes angles with positive axes, then the range of is
a
(−1,1]
b
(−1,2]
c
[−1,1)
d
(−2,1]
detailed solution
Correct option is B
If α,β,γ are the angles made by a line ‘L’ with the coordinate axes in the positive direction then cos2α+cos2β+cos2γ=1 and sin2α+sin2β+sin2γ=2Consider,∑sinα−sinβ2It implies that ∑sinα−sinβ2≥0∑sin2α+sin2β−2sinαsinβ≥02+2−2∑sinαsinβ≥0This gives ∑sinαsinβ≤2Talk to our academic expert!
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Angle between the lines whose direction ratios are a,b,c and is
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