Introduction to 3DHard

Question

If the line makes angles α, β, γ with xy, yz and zx planes respectively then which one of the following are not possible ?

Options

A.sin2α + sin2β + sin2β = 2 and cos2α + cos2β + cos2γ = 1
B.tan2α + tan2β + tan2γ =7and cot2α + cot2β + cot2γ = 5/3
C.sin2α + sin2β + sin2β = 1 and cos2α + cos2β + cos2γ = 2
D.sec2α + sec2β + sec2γ = 10 and cosec2α + cosec2β + cosec2γ = 14/3

Solution


cos α = ⇒ α = 30o, cosβ = ⇒ β = 30o,
cos γ = ⇒ γ = 45o
By putting the values check options

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