the ratio in which line segment joining points A(3,-4) and b(-2,7) is divided by x axis is
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the ratio in which line segment joining points A(3,-4) and b(-2,7) is divided by x axis is
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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
)
in the ratio
m
:
n
, then
(
x
,
y
)
=
(
m
x
2
+
n
x
1
m
+
n
,
m
y
2
+
n
y
1
m
+
n
)
Let the ratio be
m
:
n
m
y
2
+
n
y
1
m
+
n
=
0
Here,
x
1
=
3
,
y
1
=
−
3
,
x
2
=
−
2
,
y
2
=
7
⇒
7
m
−
3
n
m
+
n
=
0
⇒
7
m
−
3
n
=
0
⇒
7
m
=
3
n
⇒
m
n
=
3
7
⇒
m
:
n
=
3
:
7
,
Now,
m
x
2
+
n
x
1
m
+
n
=
3
(
−
2
)
+
7
(
3
)
3
+
7
=
−
6
+
21
10
=
15
10
=
3
2
∴
Coordinate of the point of division
=
(
3
2
,
0
Step-by-step explanation: