1998 AHSME Problem 23

Geometry Level 3

The graphs of x2+y2=4+12x+6yx^2 + y^2 = 4 + 12x + 6y and x2+y2=k+4x+12yx^2 + y^2 = k + 4x + 12y intersect when k satisfies akba \le k \le b, and for no other values of k. Find b-a.

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