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Q.

A line makes angles α,β,γ with the coordinate axes. If α+β=π2 then (cosα+cosβ+cosγ)2  is equal to

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a

1+sin2α

b

1+cos2α

c

1−sin2α

d

1

answer is A.

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Detailed Solution

β=π2−αcos2α+cos2β+cos2γ=1⇒γ=900cosα+cosβ+cosγ2=(cosα+sinα)2
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