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Australian AMC 2015 - Senior Question 23

AMC AUSTRALIA · Australian AMC 2015 - Senior

Question 23

Points $P$, $Q$, $R$ and $S$ lie on a circle and $\angle SRQ=60^\circ$. If $RS=4$, $RQ=6$, $SP=x$ and $PQ=y$, then a possible solution for $x$ and $y$ is

Question illustration
  1. $x=4$ and $y=2$
  2. $x=y=3$
  3. $x=y=4$
  4. $x=4$ and $y=3$
  5. $x=5$ and $y=2$