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a
x∈[2,∞)
b
x∈−∞,2
c
x∈[−1,1]
d
x∈ℝ
answer is B.
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Detailed Solution
[SolutionStep1]:sinxα+cosxα≥1, 0<α<π2 Since equality holds for x=2 If x<2, both cosα and sinα increase (being + ve fraction). cosxα+sinxα>1 if x<2 Thus x≤2 i.e. x∈(-∞,2]