find the cordinates of the point which divides the join of a(-6, 10) and B(3, -8) in the ratio2:7
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Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(a) Let the point be P(x,y)
(x,y)=(
2+3
2×−7+3×8
,
2+3
2×4+3×9
)
X=2,Y==7
So the point is (2,7)
(b) Let the required point be P(x,y)
Then,
(x,y)=(
1+2
1×4+2×1
,
1+2
1×7+2×−2
)
x=2,y=1
therefore, required point (2,1)
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