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For a point P(x,y), x <=2 in x-y plane ...

For a point `P(x,y), x <=2` in `x-y` plane moves on path `y=|ax-1|+|ax-2|+ax AA alpha in [0,1]` If area Of region R consisting of all points P lying in the first quadrant of the plane is A when ? take it's all values `alpha in [0,1]`, then value of `6/A` is

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