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1998 AMC 12 Question 23

AMC12 · 1998 AMC 12

Question 23

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 $b-a.$
  1. $5$
  2. $68$
  3. $104$
  4. $140$
  5. $144$