If a point P(x, y) divides the line segment joining , A (x 1 ,y 1 ) and B (x 2 ,y 2 ) in the ratio
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Given that point P(x,y) divides the line segment joining A(x
1
y
1
) B(x
2
y
2
) in the ratio m
1
:m
2
then the coordinates of P can be obtained using the section formula.
( Diagram )
Using section formula we can write :
⇒(x,y)≡(
m
2
m
2
m
1
x
2
+m
2
x
1
,
m
1
+m
2
m
1
y
2
+m
2
y
2
)
Hence, the answer is (
m
2
m
2
m
1
x
2
+m
2
x
1
,
m
1
+m
2
m
1
y
2
+m
2
y
2
).
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