Find the coordinates of the point which divides the join of A (-5,11) and B (4,-7) in the ratio 7:2
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Answered by
2
Answer:
If a point P(x,y) divides a line segment having end points coordinates (x
1
,y
1
) and (x
2
,y
2
), then coordinates of the point P can be find using formula:
x=
m
1
+m
2
m
1
x
2
+m
2
x
1
y=
m
1
+m
2
m
1
y
2
+m
2
y
1
Let P(x,y) be the point which divides the line joining the points A(−5,11) and B(4,−7) in the ratio 7:2.
x=(7×4+2×(−5))/(7+2)
=(28−10)/9
=18/9
=2
y=(7×(−7)+2×11)/9
=(−49+22)/9
=−27/9
=−3
Therefore, required point is (2,−3).
Step-by-step explanation:
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