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Standard XII
Maths
Question
If the three distinct lines
x
+
2
a
y
+
a
=
0
,
x
+
3
b
y
+
b
=
0
and
x
+
4
a
y
+
a
=
0
are concurrent, then the point
(
a
,
b
)
lies on a :
Circle
Straight line
Hyperbola
Parabola
A
Straight line
B
Parabola
C
Circle
D
Hyperbola
Open in App
Solution
Verified by Toppr
∣
∣ ∣
∣
1
2
a
a
1
3
b
b
1
4
a
a
∣
∣ ∣
∣
=
0
⇒
(
3
a
b
−
4
a
b
)
−
2
a
(
a
−
b
)
+
a
(
4
a
−
3
b
)
=
0
⇒
2
a
2
−
2
a
b
=
0
⇒
(
a
)
(
a
−
b
)
=
0
Hence, it lies on a straight line.
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