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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 and x-3y= 6 respectively, Let the two bisector meet at I. If (x_(1),y_(1)) and (x_(2),y_(2)) are the coordinates of the point B and C respectively, the value of (x_(1)x_(2)+y_(1)y_(2)) is equal to

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Answer :A


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