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KEAM 2019 Math Paper
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© examsnet.com
Question : 40
Total: 121
If the circle
x
2
+
y
2
+
4
x
+
22
y
+
c
=
0
bisects the circumference of the circle
x
2
+
y
2
−
2
x
+
8
y
−
d
=
0
then
c
+
d
is equal to
30
45
60
35
50
Validate
Solution:
The common chord will be a diameter of the second circle.
Common chord is
S
1
−
S
2
=
0
or
6
x
+
14
y
+
(
c
+
d
)
=
0
The centre of the second circle is
(
1
,
−
4
)
lies on it.
6
(
1
)
+
14
(
−
4
)
+
c
+
d
=
0
∴
c
+
d
=
50
© examsnet.com
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