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Byju's Answer
Standard XII
Mathematics
Circular Measurement of Angle
Prove that th...
Question
Prove that the line segment joining the points of contact of two parallel tangents of a circle passes through its centre.
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Solution
O
A
|
|
P
Q
∠
P
M
O
∠
A
O
M
=
180
°
(
A
d
j
a
c
e
n
t
C
)
&
∠
P
M
O
=
90
°
(
T
a
n
g
e
n
t
p
e
r
p
e
n
d
i
c
u
l
a
r
t
o
R
a
d
i
i
)
⇒
∠
A
O
M
=
90
°
=
∠
A
O
N
⇒
∠
A
O
N
+
∠
R
N
O
=
180
°
So, MON is straight line through
O
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