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Prove that the centres of the circle x^(...

Prove that the centres of the circle `x^(2) + y^(2) - 4x - 2y + 4 = 0, x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) + 2x - 8y + 1 = 0` are collinear. More over prove that their radii are in geometric pregression.

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