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Question
Mathematics
If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3,2), then the equation of the line will be
Q. If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is
(
3
,
2
)
, then the equation of the line will be
1251
156
Straight Lines
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A
2
x
+
3
y
=
12
49%
B
3
x
+
2
y
=
12
31%
C
4
x
−
3
y
=
6
13%
D
5
x
−
2
y
=
10
8%
Solution:
Equation of line making intercepts
a
and
b
with
x
and
y
-axes is
a
x
+
b
y
=
1
…
(
i
)
Here, we have
2
a
+
0
=
3
,
2
b
+
0
=
2
⇒
a
=
6
,
b
=
4
Putting these values in
(
i
)
, we get
6
x
+
4
y
=
1
⇒
2
x
+
3
y
=
12