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Find the coordinates of the point which divides the line segment joining the
points $P(-1, 1)$ and $Q(5, -7)$ in the ratio $2: 3$.
points $P(-1, 1)$ and $Q(5, -7)$ in the ratio $2: 3$.
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Ans. Let the coordinates of the point be $(x, y)$
$x = \frac{2\times5+3\times(-1)}{5} = \frac{7}{5}$, $y = \frac{2\times(-7)+3\times1}{5} = -\frac{11}{5}$ (1+1 Mark)
Coordinates of the point are $(\frac{7}{5}, -\frac{11}{5})$
$x = \frac{2\times5+3\times(-1)}{5} = \frac{7}{5}$, $y = \frac{2\times(-7)+3\times1}{5} = -\frac{11}{5}$ (1+1 Mark)
Coordinates of the point are $(\frac{7}{5}, -\frac{11}{5})$