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Mathematics
Mathematics
Problem
The angle between a pair of tangents from a point
P
P
P
to the circle
x
2
+
y
2
−
6
x
−
8
y
+
9
=
0
x^2 + y^2 - 6x - 8y + 9 = 0
x
2
+
y
2
−
6
x
−
8
y
+
9
=
0
is
π
3
\frac{\pi}{3}
3
π
. Find the equation of the locus of the point
P
P
P
.
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