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Problem
Problem
Let the curve
C
C
C
be the mirror image of the parabola
y
2
=
4
x
y^2 = 4x
y
2
=
4
x
with respect to the line
x
+
y
+
4
=
0
x + y + 4 = 0
x
+
y
+
4
=
0
. If
A
A
A
and
B
B
B
are the points of intersection of
C
C
C
with the line
y
=
−
5
y = -5
y
=
−
5
, the distance between
A
A
A
and
B
B
B
is
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