Find the co-ordinates of a point that divides the joint of (2, 4) and (6,8) externally in the ratio 1:3.
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If P(x,y) lies on
AB
ˉ
(but not in between A(x
1
,y
1
) and B(x
2
,y
2
)) such that
AP
ˉ
:
BP
ˉ
=m:n, then P is said to divide
AB
ˉ
externally in m:n ratio.
P(x,y)=(
m−n
mx
2
−nx
1
,
m−n
my
2
−ny
1
)
Substituting A(x
1
,y
1
)=(3,4) and B(x
2
,y
2
)=(−6,2) in the above equation will give P=(−24,−2)
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