2. Draw two concentric circles from the centre A of radius 4 cm and 2 cm and
represent points C , D in between the two circles., E,F on the outer circle and P
, Q on the inner circle.
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छोटे चमचे साखर घालून हत्या करण्यात आल्याचा तुकडा छोटे चमचे साखर घालून हत्या करण्यात आल्याचा तुकडा
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In the given figure,
PA and PB are the tangents drawn from P, to the outer circle and inner circle respectively.
PA=10cm
OA and OB are the radii and
PA and PB are two tangents to the circles respectively
So,
OA⊥PA and OB⊥PB
In right ΔOAP
By Pythagoras Theorem:
OP
2
=OA
2
+PA
2
=(6)
2
+(10)
2
OP
2
=136 ___(1)
From right ΔOBP,
OP
2
=OB
2
+PB
2
136=(4)
2
+PB
2
136=16+PB
2
[Using equation (1)]
we have PB
2
=136−16=120
Or PB=
120
cm=2
30
cm=2×5.47=10.9
Length of PB is 10.9cm
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