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Find the number of common tangents to the circles and
MATHEMATICS · Subjective · ICSE · Mathematics · Geometry · Geometry
Problem
Find the number of common tangents to the circles
x
2
+
y
2
−
8
x
+
2
y
+
8
=
0
x^2 + y^2 - 8x + 2y + 8 = 0
x
2
+
y
2
−
8
x
+
2
y
+
8
=
0
and
x
2
+
y
2
−
2
x
−
6
y
−
15
=
0.
x^2 + y^2 - 2x - 6y - 15 = 0.
x
2
+
y
2
−
2
x
−
6
y
−
15
=
0.
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Two circles
Coordinate Geometry
Tangent length properties
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