Question

The point p divides the line segment joiningA(x1,y1)and(x2,y2) in the ratio m1:m2 find the coordinates of the point p

Answer 1

Answer:

(x,y) =$(\frac{(m1x_{2} + m2x_{1})}{m1 +m2} , \frac{(m1y_{2} + m2y_{1})}{m1 +m2})$

Step-by-step explanation:

Coordinates of A is ($x_{1}$, ($y_{1}$

Coordiantes of B are ($x_{2}$, ($y_{2}$

Ratio in which p divides AB = m1:m2

Let the coordinates of the point p = (x,y)

So, by section formula directly

x = $\frac{(m1x_{2} + m2x_{1})}{m1 +m2}$

Similarly, y =$\frac{(m1y_{2} + m2y_{1})}{m1 +m2}$