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Mathematics
Mathematics
Problem
A circle
x
2
+
y
2
+
4
x
−
2
2
y
+
c
=
0
x^2 + y^2 + 4x - 2\sqrt{2}y + c = 0
x
2
+
y
2
+
4
x
−
2
2
y
+
c
=
0
is the director circle of the circle
C
1
C_1
C
1
and
C
1
C_1
C
1
is the director circle of circle
C
2
C_2
C
2
and so on. If the sum of radii of all these circles is 2 and if
c
=
λ
2
c = \lambda\sqrt{2}
c
=
λ
2
, then the value of
λ
\lambda
λ
is
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