If two circles intersect at points a (1,3) and B (m, - 1), and the centers of the two circles are on the straight line x + y + C = 0, then the value of M + C is () A. 0B. 2C. -3D. -1 | Math enthusiast | Mathematical art

If two circles intersect at points a (1,3) and B (m, - 1), and the centers of the two circles are on the straight line x + y + C = 0, then the value of M + C is () A. 0B. 2C. -3D. -1

∵ the two circles intersect at points a (1,3) and B (m, - 1), the centers of the two circles are on the straight line L: x + y + C = 0, and the line L vertically bisectors the line segment ab. ∵ KAB · KL = − 11 + M2 + 3 − 12 + C = 0, and the solution is. M = − 3C = 0 ∵ m + C = - 3

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