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Mathematics
Mathematics
Problem
If the circles
x
2
+
y
2
+
(
3
+
sin
θ
)
x
+
2
cos
ϕ
y
=
0
x^2 + y^2 + (3 + \sin\theta)x + 2\cos\phi y = 0
x
2
+
y
2
+
(
3
+
sin
θ
)
x
+
2
cos
ϕ
y
=
0
and
x
2
+
y
2
+
(
2
cos
ϕ
)
x
+
2
λ
y
=
0
x^2 + y^2 + (2\cos\phi)x + 2\lambda y = 0
x
2
+
y
2
+
(
2
cos
ϕ
)
x
+
2
λ
y
=
0
touch each other, then the maximum value of
λ
\lambda
λ
is
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