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Mathematics
Problem
Find the lengths of external and internal common tangents and also find the angle between external common tangents and internal common tangents of the circles common tangents of the circles
x
2
+
y
2
+
2
x
−
8
y
+
13
=
0
and
x
2
+
y
2
−
8
x
−
2
y
+
8
=
0.
x^2 + y^2 + 2x - 8y + 13 = 0 \text{ and } x^2 + y^2 - 8x - 2y + 8 = 0.
x
2
+
y
2
+
2
x
−
8
y
+
13
=
0
and
x
2
+
y
2
−
8
x
−
2
y
+
8
=
0.
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