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AMO 2025 Secondary 3 (Grade 9) Question 3

AMO · AMO 2025 Secondary 3 (Grade 9)

Question 3

Let $A=(1,5)$ and $B=(7,10)$. Choose $C$ on $y=x$ to minimize $AC+CB$. What is the $x$-coordinate of $C$?

Question illustration
  1. $\frac{45}{8}$
  2. $\frac{43}{7}$
  3. $\frac{5\pi}{6}$
  4. $\frac{25}{8}$