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CDS Model Paper 5 Mathematics
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© examsnet.com
Question : 69
Total: 100
The diameter of a circle with centre at C is
50
cm
.
C
P
is a radial segment of the circle.
A
B
is a chord perpendicular to
C
P
and passes through
P
.
C
P
produced intersects the circle at
D
. If
D
P
=
18
cm
, then what is the length of
A
B
?
24
cm
32
cm
40
cm
48
cm
Validate
Solution:
C
D
=
25
c
m
d
=
50
c
m
P
D
=
18
c
m
r
=
d
2
=
50
2
=
25
c
m
∴
C
P
=
C
D
−
P
D
=
25
−
18
=
7
c
m
A
P
=
√
(
25
)
2
−
(
7
)
2
=
√
625
−
49
=
√
576
=
24
c
m
∴
A
B
=
2
A
P
=
24
×
2
=
48
c
m
© examsnet.com
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