Question

find the coordinates of the point p dividing the line segment joining the points a(1,3) and b(4,6) in the ratio 2:1

Answer 1

hope this helps you:)

Answer 2

To find : The coordinates of the point P dividing the line segment joining the points a(1,3) and b(4,6) in the ratio 2:1.

Step-by-step explanation:

The coordinates of the point (x,y) dividing the line segment joining (p,q) and (r,s) in m:n is given by:-

$x=\dfrac{mr+np}{m+n}, y=\dfrac{ms+nq}{m+n}$

Then , the coordinates of the point P dividing the line segment joining the points a(1,3) and b(4,6) in the ratio 2:1 would be :

$x=\dfrac{2\cdot 4+1\cdot 1}{2+1},\ y=\dfrac{2\cdot6+1\cdot3}{2+1}\\\\\Rightarrow\ x=\dfrac{9}{3}=3,\ y=\dfrac{15}{3}=5$

Hence, the coordinates of the point P is (3,5).