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AP EAMCET Engineering 2015 Code C Paper
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© examsnet.com
Question : 17
Total: 160
If
x
2
+
y
2
−
4
x
−
2
y
+
5
=
0
and
x
2
+
y
2
−
6
x
−
4
y
−
3
=
0
are are members of a coaxal system of circles then centre of a point circle in the system is
(
−
5
,
−
6
)
(
5
,
6
)
(
3
,
5
)
(
−
8
,
−
13
)
Validate
Solution:
2
x
+
2
y
+
8
=
0
x
+
y
+
4
=
0
x
2
+
y
2
−
4
x
−
2
y
+
5
+
λ
x
+
λ
y
+
4
λ
=
0
x
2
+
y
2
+
(
λ
−
4
)
x
+
(
λ
−
2
)
y
+
5
+
4
λ
=
0
(
λ
−
4
)
2
4
+
(
λ
−
2
)
2
4
−
5
−
4
λ
=
0
(
λ
−
4
)
2
+
(
λ
−
2
)
2
−
20
−
16
λ
=
0
2
λ
2
+
20
−
12
λ
−
20
−
16
λ
=
0
2
λ
2
−
28
λ
=
0
2
λ
(
λ
−
14
)
=
0
λ
=
0
λ
=
14
[
4
−
λ
2
,
2
−
λ
2
]
(
−
10
2
,
−
12
2
)
(
2
,
1
)
=
(
−
5
,
−
6
)
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