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A (2, 5), B (-1, 2) and C (5, 8) are the...

A (2, 5), B (-1, 2) and C (5, 8) are the co-ordinates of the vertices of the triangle ABC. Points P and Q lie on AB and AC respectively, such that : AP: PB = AQ: QC = 1:2.
Show that : `PQ = (1)/(3) BC`.

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