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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,

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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

(i) Calculate the co-ordinates of P and Q.

(ii) Show that PQ = (1/3)BC

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(i) Co-ordinates of P are

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