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2010 AMC 12A Question 13

AMC12 · 2010 AMC 12A

Question 13

For how many integer values of $k$ do the graphs of $x^2+y^2=k^2$ and $xy=k$ not intersect?
  1. $0$
  2. $1$
  3. $2$
  4. $4$
  5. $8$