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1984 AMC 12 Question 29

AMC12 · 1984 AMC 12

Question 29

Find the largest value of $\frac{y}{x}$ for pairs of real numbers $(x,y)$ which satisfy $$
(x-3)^2+(y-3)^2=6.
$$
  1. $3+2\sqrt2$
  2. $2+\sqrt3$
  3. $3\sqrt3$
  4. $6$
  5. $6+2\sqrt3$