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.
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ANSWER
Given:
AP=
7
3
AB
A(−2,−2) and B(2,−4)
Here, x
1
=−2,y
1
=−2, x
2
=2,y
2
=−4
⇒BP=(1−
7
3
)AB
⇒BP=
7
4
AB
Now,
BP
AP
=
4
3
.
So, P divides AB in ratio 3:4
P(X,Y)=(
m+n
mx
1
+nx
2
,
m+n
my
1
+ny
2
)
⇒P=(
7
−8+6
,
7
−8−12
)
⇒P=(
7
−1
,
7
−20
)
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