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JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 1 Questions
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© examsnet.com
Question : 31
Total: 100
Consider the set of all lines
p
x
+
q
y
+
r
=
0
such that
3
p
+
2
q
+
4
r
=
0
. Which one of the following statements is true?
[Jan. 9, 2019 (I)]
The lines are concurrent at the point
(
3
4
,
1
2
)
.
Each line passes through the origin.
The lines are all parallel.
The lines are not concurrent.
Validate
Solution:
The given equations of the set of all lines
p
x
+
q
y
+
r
=
0
. . . (i)
and given condition is :
3
p
+
2
q
+
4
r
=
0
⇒
3
4
p
+
2
4
q
+
r
=
0
. . . (ii)
From (i) & (ii) we get :
∴
x
=
3
4
,
y
=
1
2
Hence the set of lines are concurrent and passing through
the fixed point
(
3
4
,
1
2
)
© examsnet.com
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