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Byju's Answer
Standard X
Mathematics
Converse of Cyclic Quadrilateral Theorem
Show that the...
Question
Show that the two tangents drawn from an external point to a circle are equal.
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Solution
In
Δ
P
B
C
and
Δ
P
A
C
P
C
=
P
C
(common)
∠
A
=
∠
B
(Right angles)
B
C
=
A
C
(Radii)
So,
Δ
P
B
C
≅
Δ
P
A
C
(
S
A
S
criteria)
and thus,
P
B
=
P
A
(
C
P
C
T
)
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Q.
The two tangents drawn from an external point to a circle are _______ to the segment joining the centre to the point.