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.

Answer 1

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

`x=\frac{3\times (-4)+2\times 6}{3+2}\text{ and }y=\frac{3\times 5+2\times 3}{3+2}`

`\Rightarrow x=0\text{ and }y=\frac{21}{5}`

So, the coordinates of P are (0, 21/5)