The point which divides the line segment joining the points (6, 3) and (-4 5) in the ratio 3.2 internally is?
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Asked on December 26, 2019 by
Harmanjot Waikhom
The coordinates of the point which divides the line segment joining the points (6,3) and (−4,5) in the ratio 3:2 Internally is (0,
5
k
). Find k
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ANSWER
Using the section formula, if a
point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) internally in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Substituting (x
1
,y
1
)=(6,3) and (x
2
,y
2
)=(−4,5) and m=3,n=2 in the section formula, we get
the point P =(
3+2
3(−4)+2(6)
,
3+2
3(5)+2(3)
)=(0,
5
21
)
solution
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