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Q.

If a line makes angles α,β,γ with positive axes, the the range of sinαsinβ+sinβsinγ+sinγsinα is

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a

−12,1

b

−12,2

c

(-1,2)

d

(−1,2]

answer is D.

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Detailed Solution

(sinα+sinβ+sinγ)2>0sin2α+sin2β+sin2γ−sinαsinβ−sinβsinγ−sinγsinα≥0But sinα,sinβ,sinγ>0
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