Question

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 are



a.2 ,4

b. 3,5

c. 4,2

d. 5,3​

Answer 1

Answer:

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

Answer 2

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}x=

m+n

mr+np

,y=

m+n

ms+nq

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 :

\begin{gathered}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\end{gathered}

x=

2+1

2⋅4+1⋅1

, y=

2+1

2⋅6+1⋅3

⇒ x=

3

9

=3, y=

3

15

=5

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