(Q3)Find the points which divides the line segment joining the points (3,5) and (8,10)internally in the ratio 2:3 .
Answer
Let P(x,y) be the required point then P(x,y)
= (
m
1
x
2
+m
2
x
1
m
1
+m
2
,
m
1
y
2
+m
2
y
1
m
1
+m
2
)
Where m
1
:m
2
= 2:3
x =
2×
+3×
2+3
=
5
=
y =
2×
+3×
2+3
=
5
=
P(x,y) = (
,
).
Clear