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Find the centre and radius of the circle...

Find the centre and radius of the circle formed by all the points represented by `z = x + iy` satisfying the relation `|(z-alpha)/(z-beta)|= k (k !=1)`, where `alpha and beta` are the constant complex numbers given by `alpha = alpha_1 + ialpha_2, beta = beta_1 + ibeta_2`.

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