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Suppose that F(alpha) denotes the area o...

Suppose that `F(alpha)` denotes the area of the region bounded by `x = 0, x=2, y^2=4x` and `y=|alphax-1|+|alphax-2|+alphax`, where `alpha in {0,1}`. Then the value of `F(alpha)+(8sqrt(2))/3` when `alpha = 0` is (A) 4 (B) 5 (C) 6 (D) 9

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