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If $\sin θ = \frac{a - 4}{2}$ then ‘a’ lies in

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Correct option is A

-1≤sinθ≤1⇒-1≤a-42≤1⇒-2≤a-4≤2⇒2≤a≤6⇒a∈[2,6]

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If sinθ=a−42 then ‘a’ lies in

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If $\sin θ = \frac{a - 4}{2}$ then ‘a’ lies in