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The chord of contact of tangents drawn from a point on the circle to the circle…
MATHEMATICS · Subjective · ICSE · Mathematics · Geometry · Geometry
Problem
The chord of contact of tangents drawn from a point on the circle
x
2
+
y
2
=
a
2
x^2 + y^2 = a^2
x
2
+
y
2
=
a
2
to the circle
x
2
+
y
2
=
b
2
x^2 + y^2 = b^2
x
2
+
y
2
=
b
2
touches the circle
x
2
+
y
2
=
c
2
x^2 + y^2 = c^2
x
2
+
y
2
=
c
2
. Show that
a
,
b
,
c
a, b, c
a
,
b
,
c
are in GP.
Related theory
Circles
Power of a point
Two circles
Coordinate Geometry
Tangent to a circle
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