Prove that the radii of the circles \( x^{2}+y^{2}=1, x^{2}+y^{2}-2 x-6 y-6=0 \) and \( x^{2}+y^...

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Prove that the radii of the circles \( x^{2}+y^{2}=1, x^{2}+y^{2}-2 x-6 y-6=0 \) and \( x^{2}+y^{2}-4 x-12 y-9=0 \) are in A.P.
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