Questions
The direction angles made by a line ' ’ with the coordinate axes, are . Then the range of
a
ϕ
b
0,1
c
1,2
d
ℝ
detailed solution
Correct option is C
Ifα,β,γ are the angles made by a line ‘L’ with the coordinate axes in the positive direction thencos2α+cos2β+cos2γ=1It implies that 1−sin2α+1−sin2β+1−sin2γ=1⇒sin2α+sin2β+sin2γ=2Hence, sin2α+sin2β=2−sin2γThe minimum value of sin2γis zero and its maximum value is 1So that the range of sin2α+sin2βis 1,2Talk 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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