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The coordinates of two points 'A' and 'B...

The coordinates of two points 'A' and 'B' are '(3,2)' and '(8,7)'
Find the coordinates of:
i) the point 'P' on 'A B' with 'A P: P B=2: 3'
ii) the point 'Q' on 'A B' with 'A Q: Q B=3: 2'

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