If the two circles \( (x-1)^{2}+(y-3)^{2}=r^{2} \) and \( x^{2}+y^{2}-8 x+2 y+8=0 \) intersect i...

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If the two circles \( (x-1)^{2}+(y-3)^{2}=r^{2} \) and \( x^{2}+y^{2}-8 x+2 y+8=0 \) intersect in two distinct points, then prove that \( 2r8 \).
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