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Two concentric circles with common centre have radii and
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
Two concentric circles with common centre
O
O
O
have radii
6
cm
6\,\text{cm}
6
cm
and
8
cm
8\,\text{cm}
8
cm
. From an external point
P
P
P
, tangents
P
A
PA
P
A
and
P
B
PB
P
B
are drawn to the smaller and larger circle respectively. If
P
A
=
8
cm
PA=8\,\text{cm}
P
A
=
8
cm
, then
P
B
PB
P
B
equals (a)
8
cm
8\,\text{cm}
8
cm
(b)
10
cm
10\,\text{cm}
10
cm
(c)
6
cm
6\,\text{cm}
6
cm
(d)
5.3
cm
5.3\,\text{cm}
5.3
cm
Related theory
Pythagoras' Theorem
Triangle Properties
Circles
Tangent length properties
Tangent theorem (radius perpendicular to tangent)
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