In what ratio is the line segment joining the points A(6,3) and B(-2,-5) divided by x-axis? Also find the coordinates of the point of intersection of AB and x-axis.
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Given x-axis divide the segment joining points
(2,−3) and (5,6)
Let the ratio be k:1
then 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
=0
⇒
k+1
6k−3
=0
⇒6k=3
⇒k=
2
1
the ratio is 1:2
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Answer:
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