(Q1)Find the coordinates of the point which divides the line segment joining the points (4,-3) and (8,5) in the ratio 3:1 internally.
Answer
Let p(x,y) be the required point.Using the section formula
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
)
x=
3(
)+1(
)
3+1
=
4
=
y=
3(
)+1(-
)
3+1
=
4
=
P(x,y)=(
,
) is the required point.
Clear