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When two tangents and are drawn from an external point to a circle with centre
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
When two tangents
P
A
PA
P
A
and
P
B
PB
P
B
are drawn from an external point
P
P
P
to a circle with centre
O
O
O
, which of the following statements is always true? (a)
P
A
×
P
B
=
r
2
PA \times PB = r^2
P
A
×
P
B
=
r
2
(b)
P
A
+
P
B
=
2
r
PA + PB = 2r
P
A
+
P
B
=
2
r
(c)
P
A
=
P
B
PA = PB
P
A
=
P
B
(d)
O
A
=
P
B
OA = PB
O
A
=
P
B
Related theory
Circles
Tangent length properties
Tangent to a Circle
Number of tangents from a point
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