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Byju's Answer
Standard X
Mathematics
Classification of Pair of Linear Equations
3 x+2 y=6 & 6...
Question
3
x
+
2
y
=
6
&
6
x
+
4
y
=
18
are ______.
A
intersecting lines
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B
parallel lines
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C
coincident lines
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D
dependent pair of linear equations
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Solution
The correct option is
B
parallel lines
For inconsistent pair of lines or parallel lines,
a
1
a
2
=
b
1
b
2
≠
c
1
c
2
.
Here
3
6
=
2
4
≠
6
18
→
These are parallel lines.
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6
Similar questions
Q.
8
(
3
x
−
2
y
)
2
−
6
x
+
4
y
−
1
Q.
3
x
+
4
y
=
6
&
6
x
+
8
y
=
12
are ______.
Q.
The number of solutions of the equations
3
x
−
2
y
=
5
,
6
x
−
4
y
=
10
are
⋯
Q.
Minimize:
Z
=
6
x
+
4
y
Subject to :
3
x
+
2
y
≥
12
,
x
+
y
≥
5
,
0
≤
x
≤
5
,
0
≤
y
≤
6
Q.
Show that the straight line
3
x
+
2
y
−
12
=
0
and
6
x
+
4
y
+
8
=
0
are parallel.
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