Question

Find the coordinates of the point which divides the line segment joining the points (6, 3) and (–4, 5) in the ratio 3 : 2 internally. [2 MARKS]

Answer 1

Concept : 1 Mark
Application : 1 Mark

Let P(x, y) be the required point. Then,



$p(x,y)=\left(\frac{m{x}_2+n{x}_1}{m+n}\right),\left(\frac{m{y}_2+n{y}_1}{m+n}\right)$

$\Rightarrow x=\frac{3\times (-4)+2\times 6}{3+2}andy=\frac{3\times 5+2\times 3}{3+2}$

$\Rightarrow x=0andy=\frac{21}{5}$

So, the coordinates of P are $(0,\frac{21}{5})$