tmua.me Extreme Set A Paper 1 · Question 13

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tmua.me Extreme Set A Paper 1 · Q13

Paper 1Geometry

In a triangle $ABC$ , the point $D$ lies on the side $BC$ with $BD:DC=3:2$ , and the point $E$ lies on the side $CA$ with $CE:EA=2:1$ . The line segments $AD$ and $BE$ intersect at $P$ .

What fraction of the area of triangle $ABC$ is the area of triangle $PDE$ ?

\dfrac{2}{55}

\dfrac{2}{33}

\dfrac{4}{55}

\dfrac{2}{15}

\dfrac{2}{11}

\dfrac{6}{11}

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