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Let P and Q are two points on curve y=lo...

Let P and Q are two points on curve `y=log_((1)/(2))(x-(1)/(2))+log_(2) sqrt(4x^(2)-4x+1)` and P is also on `x^(2)+y^(2)=10`. Q lies inside the given circle such that its abscissa is integer. find the largest possible value of `|vec(PQ)|`.

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