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Let ` sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj` respectively be the position vedors of the points A, B and C with respect the origin O. If the distance of C from the bisector of the acute angle between OA and OB is `(3)/(sqrt2),` then the sum all possible values of `beta` is `"_______."`

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