Question

The point which divides the line segment joining the points A (0,5) and
B (5, 0) internally in the ratio 2:3 is​

Answer 1

Given the two points

A(0,5) and B(5,0)

.So we need to find your the coordinates of the points which divides the line joining the above mentioned points in the ratio 2:3

Let us think the ratios or M:n or

m=2 and n=3

Let ,us now find the coordinate of the point

So to find it we need to apply a formula which is as bellow

$(\frac{mx2 + nx1}{m + n} \: \: \frac{my2 + ny1}{m + n} )$

So by so by applying this formula we can calculate out the coordinates of the point

$= > ( \frac{2 \times 5 + 3 \times 0}{2 + 3} \: \: \: \frac{2 \times 0 + 3 \times 5}{?2 + 3}) \\ \\ = >( \frac{10 + 0}{5} \: \: \: \frac{0 + 15}{5}) \\ \\ = > (\frac{10}{5} \: \: \frac{15}{5}) \\ \\ = > \red{\bold{2 \: and \: 3 \: or \: (2 comma\: 3) \: is \: the \: coordinate \: of \: the \: point}}$