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Byju's Answer
Standard IX
Mathematics
Equal Chords Are at Equal Distances from the Center
In figure A...
Question
In figure
A
B
and
C
D
are two chords equidistant from the centre
O
.
O
P
is the
⊥
draw from centre
O
to
A
B
. If
C
D
=
6
c
m
, find
P
B
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Solution
Chords equidistant from center are equal in length
∴
A
B
=
C
D
∴
A
B
=
C
D
=
6
c
m
Now
O
P
is
⊥
to
A
B
∴
A
P
=
P
B
=
A
B
2
P
B
=
6
2
=
3
c
m
.
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Q.
In fig 4.41 chord AB || chord CD of a circle with centre O and radius 5 cm such that AB = 6cm and CD = 8cm, if OP
⊥
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