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Prove that the centres of the three circ...

Prove that the centres of the three circles `x^(2) + y^(2) - 2x + 6y + 1 = 0, x^(2) + y^(2) + 4x - 12y + 9 = 0` and `x^(2) + y^(2) - 16 = 0` are collinear.

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