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UKMT Maclaurin Olympiad, 2020

Geometry Difficulty 3.0 AMC 10/12 Prove it United Kingdom

In the square $ABCD$ , the bisector of $\angle CAD$ meets $CD$ at $P$ and the bisector of $\angle ABD$ meets $AC$ at $Q$ .

What is the ratio of the area of triangle $ACP$ to the area of triangle $BQA$ ?

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