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1978 AMC 12 Question 11

AMC12 · 1978 AMC 12

Question 11

If $r$ is positive and the line whose equation is $x+y=r$ is tangent to the circle whose equation is $x^2+y^2=r,$ then $r$ equals
  1. $\frac12$
  2. $1$
  3. $2$
  4. $\sqrt2$
  5. $2\sqrt2$