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Show that the common tangents to the circles and form an equilateral triangle.
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
Show that the common tangents to the circles
x
2
+
y
2
−
6
x
=
0
x^2 + y^2 - 6x = 0
x
2
+
y
2
−
6
x
=
0
and
x
2
+
y
2
+
2
x
=
0
x^2 + y^2 + 2x = 0
x
2
+
y
2
+
2
x
=
0
form an equilateral triangle.
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Tangent to a Circle
Tangent length properties
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