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Question

The value(s) of the parameter α(α2) for which the area of region bounded by pair of straight lines y23y+2=0 and the curves y=[α]x2, y=12[α]x2 is greatest, where [.] denotes the greatest integer function, is

A
α[2,3)
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B
α{2,3,4,}
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C
α=2
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D
α(2,3)
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