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MathNet 2021 — Part 09 Question 100

Math Olympiad Vault · MathNet 2021 — Part 09

Question 100

The angle bisector of the acute angle formed at the origin by the graphs of the lines $y = x$ and $y = 3x$ has equation $y = kx$. What is $k$?
  1. $\frac{1+\sqrt5}{2}$
  2. $\frac{1+\sqrt7}{2}$
  3. $\frac{2+\sqrt3}{2}$
  4. 2
  5. $\frac{2+\sqrt5}{2}$