Once you attempt the question then PrepInsta explanation will be displayed.

The line segment joining the points A(2,4) and B(7,9).

Let point P divides the line segment AB internally in the ratio 2:3.

The section formula is

P = \left ( \frac{x_{2}m +x_{1}n}{m + n}, \frac{y_{2}m + y_{1}n}{m+n} \right )

P = \left ( \frac {7(2)+ 2(3)}{2 + 3}, \frac{9(2) + 4(3)}{2+3} \right )

P = \left ( \frac {14+6}{5}, \frac{18 + 12}{5} \right )

P = \left ( \frac {20}{5}, \frac{30}{5} \right )

P = (4,6)

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