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AP EAMCET Engineering 2015 Code C Paper
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© examsnet.com
Question : 11
Total: 160
If the lines
x
+
2
a
y
+
a
=
0
,
x
+
3
b
y
+
b
=
0
,
x
+
4
c
y
+
c
=
0
are concurrent, then a, b, c are in
Arithmetic progression
Geometric progression
Harmonic progression
Arithmetico-Geometric Progression
Validate
Solution:
Area of the triengle formed by these lines
=
0
⇒
1
2
|
1
2
a
a
1
36
b
1
4
c
c
|
=
0
⇒
|
1
2
a
a
1
3
b
b
1
4
c
c
|
=
0
.
⇒
1
(
3
b
c
−
4
b
c
)
−
2
a
(
c
⋅
b
)
+
a
(
4
c
−
3
b
)
=
0
.
⇒
−
h
c
−
2
a
c
+
2
a
b
+
4
a
c
−
3
a
b
=
0
.
⇒
b
c
=
−
2
a
c
+
4
a
c
+
2
a
b
−
3
a
b
=
2
a
c
−
a
b
⇒
2
a
c
=
b
c
+
a
b
⇒
2
a
c
=
b
(
a
+
c
)
⇒
b
=
2
a
c
a
+
c
=
2
1
a
+
1
c
∴
b
=
2
1
a
+
1
c
⇒
1
a
+
1
c
=
2
b
∴
1
a
,
1
b
,
1
c
are in
A
⋅
P
∴
a
,
b
,
c
are in H.
P
© examsnet.com
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