1998 AHSME Problem 23

Geometry Level 3

The graphs of \(x^2 + y^2 = 4 + 12x + 6y\) and \(x^2 + y^2 = k + 4x + 12y\) intersect when k satisfies \(a \le k \le b\), and for no other values of k. Find b-a.

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