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1984 AMC 12 Question 18

AMC12 · 1984 AMC 12

Question 18

A point $(x,y)$ is to be chosen in the coordinate plane so that it is equally distant from the $x$-axis, the $y$-axis, and the line $x+y=2.$ Then $x$ is
  1. $\sqrt2-1$
  2. $\frac12$
  3. $2-\sqrt2$
  4. $1$
  5. not uniquely determined