The co-ordinates of the point which divides the segment joining $\mathrm{P}(4,6)$ and $\mathrm{Q}(6,

Question

The co-ordinates of the point which divides the segment joining $\mathrm{P}(4,6)$ and $\mathrm{Q}(6,7)$ internally in the ratio $1: 2$ is

Professor PC Thomas Classes · Answer

Using section formula: $x = \frac{m_1 x_2 + m_2 x_1}{m_1 + m_2} = \frac{1(6) + 2(4)}{1+2} = \frac{14}{3}$. $y = \frac{1(7) + 2(6)}{1+2} = \frac{19}{3}$.