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Consider a triangle ABC with vertex A(2, -4). The internal bisectors of the angle B and C are x+y=2 andx- 3y = 6respectively. Let the two bisectors meet at I.If(x_(1), y_(1)) and (x_(2), y_(2)) are the co-ordinates of the point B and C respectively, then the value of(x_(1)x_(2)+y_(1)y_(2)) is equal to :

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