The co-ordinates of a point which divides the line segment joining the points (3, 5) and (8, 10) in the ratio 2 : 3, are ______.

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The co-ordinates of a point which divides the line segment joining the points (3, 5) and (8, 10) in the ratio 2 : 3, are (5, 7). Explanation: By the section formula for internal division in the ratio 2 : 3, $\Rightarrow$ x = (2 $\times$ 8 + 3 $\times$ 3) / (2 + 3) = $\frac{25}{5}$ $\therefore$ x = 5 $\Rightarrow$ y (2 $\times$ 10 + 3 $\times$ 5) / 5 = $\frac{35}{5}$ $\therefore$ y = 7

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