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Mathematics
Problem
A circle is drawn with a focal chord of the parabola
y
2
=
16
x
y^{2} = 16x
y
2
=
16
x
as its diameter. The circle touches the line
x
+
k
=
0
x + k = 0
x
+
k
=
0
. Determine the value of
k
k
k
.
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