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If f(x) = sin√[a]x, (where [·] denotes the greatest integer function), has π as its fundamental period, then

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If f(x) = sin√[a]x, (where [·] denotes the greatest integer function), has π as its fundamental period, then

(A)  a = 1

(B)  a ∈ [1, 2)

(C)  a = 9

(D)  a ∈ [4, 5)

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Correct option  (D) a ∈ [4, 5)

Explanation :

We have

Therefore, a ∈ [4, 5).

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