(Q28)
If A and B are(-2,-2) and (2,-4) respectively.Find the coordinates of P such that AP=
3
7
AB and P lies on the segment AB .
Given A(-2,-2) and B(2,-4) P lies on AB such that AP =
3
7
AB
.
A
B
P
3
4
AP
AB
=
3
7
AP
PB
=
3
7 - 3
=
3
4
P divides
AB
in the ratio 3:4 By 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
)
P(x,y)=
(
3×
+4×(-
)
3+4
,
3×(-
)+4×(-
)
3+4
)
= (
-
7
,
-
-
7
)
P(x,y)=
(
-
7
,
-
7
)
Clear