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Question

A line makes angles α,β,γ with the co-ordinate axis. If α+β=90°, then γ=


A

0°

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B

90°

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C

180°

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D

None of these

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Solution

The correct option is B

90°


Finding the value of gamma space equals

Since it is given that the line makes the angles α,β,γ with the coordinate axes,

cos2α+cos2β+cos2γ=1cos2α+cos2(90-α)+cos2γ=1(α+β=90)cos2α+sin2α+cos2γ=11+cos2γ=1cos2γ=0cosγ=0γ=90

Hence, the correct answer is option (B).


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