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Mathematics
Mathematics
Problem
Consider the family of circles
x
2
+
y
2
−
2
x
−
2
λ
y
−
8
=
0
x^2 + y^2 - 2x - 2\lambda y - 8 = 0
x
2
+
y
2
−
2
x
−
2
λ
y
−
8
=
0
passing through two fixed points
A
A
A
and
B
B
B
. Then the distance between the points
A
A
A
and
B
B
B
is
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