The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 is ______.

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The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 is (3, 5). Explanation: It is given that P divides the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1. Using section formula, we get Coordinates of P = \left( \frac{2 $\times$ 4 + 1 $\times$ 1}{2 + 1}, \frac{2 $\times$ 6 + 1 $\times$ 3}{2 + 1} \right) = \left( $\frac{9}{3}$, $\frac{15}{3}$ \right) = \left( 3, 5 \right) Thus, the coordinates of P are (3, 5).

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