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Find the co-ordinates of the points of trisection of the line segment AB with A (2,7) and B (-4, -8).

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A (2, 7), B H,-8) 

Suppose the points P and Q trisect seg AB. 

∴ AP = PQ = QB

∴ Point P divides seg AB in the ratio 1:2. 

∴ By section formula,

Co-ordinate of P are (0, 2). 

Point Q is the midpoint of PB.

By midpoint formula,

Co-ordinates of Q are (-2, -3). 

The co-ordinates of the points of trisection seg AB are (0, 2) and (-2, -3).

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