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UPSC NDA Math Model Paper 9
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© examsnet.com
Question : 14
Total: 120
Find the distance between the parallel lines 3y + 4x - 12 = 0 and 3y + 4x - 7 = 0.
1
2
3
4
Validate
Solution:
The 2 given lines are:
3y + 4x - 12 = 0
3y + 4x - 7 = 0
a
=
4
,
b
=
3
,
c
1
=
−
12
and
c
2
=
−
7
∴ The distance between the lines
D
=
|
c
1
−
c
2
√
a
2
+
b
2
|
⇒
D
=
|
−
12
−
(
−
7
)
√
4
2
+
3
2
|
⇒
D
=
|
−
5
5
|
=
1
© examsnet.com
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