Questions
Let a line makes an angle with axes and with axis. If and are in the ratio , then
a
2m2n2+m2
b
m2n2+m2
c
m2n2+m2
d
n2n2+m2
detailed solution
Correct option is C
Given ϕ,θ,θare the angles made by a line with axes, it implies that cos2ϕ+cos2θ+cos2θ=12cos2θ=1−cos2ϕ=sin2ϕ Given sinϕsinθ=mn⇒sinϕ=mnsinθSubstitute sinϕ=mnsinθ in the equation 2cos2θ=sin2ϕIt implies that 2cos2θ=m2n2sin2θtan2θ=2n2m2Use right triangle, we get cosθ=m2n2+m2Talk 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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