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UPSC 2015 CDS I Math Paper
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© examsnet.com
Question : 96
Total: 100
Out of two concentric circles, the diameter of the outer circle is 26 cm and the chord MN of length 24 cm is tangent to the inner circle. The radius of the inner circle is
[2015 CDS-I]
5 cm
6 cm
8 cm
10 cm
Validate
Solution:
Radius of the outer circle= ON = 13 cm
PN = PM = 12 cm (Perpendicular from the centre of the circle to the chord bisects the chord)
In right ΔOPN
O
P
=
√
O
N
2
−
P
N
2
=
√
13
2
−
12
2
=
√
169
−
144
=
√
25
=
5
c
m
Thus, the radius of the inner circleis 5 cm.
© examsnet.com
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