AMO 2024 Secondary 3 (Grade 9) Question 7

Question 7

Rotate $A=(8,10)$ counterclockwise through $60^\circ$ about $B=(5,6)$. Find the new coordinates.

1. $((11-4\sqrt3)/2,(9+3\sqrt2)/3)$
2. $((13-4\sqrt3)/2,(16+3\sqrt3)/2)$
3. $((13-4\sqrt3)/3,(17+3\sqrt2)/3)$
4. $(6\sqrt3,5\sqrt6)$