for the two circle is x^2+y^2=16and x^2+y^2-2y=0
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Circle S1 is x
2
+y
2
=16
Circle S2 is x
2
+y
2
−2y=0
Centre C1 is C
1
(0,0) and radius R
1
=4
Centre C2 is C
2
(0,1) and radius R
2
=1
Distance between Centres is C
1
C
2
=1
Since C
1
C
2
<∣R
2
−R
1
∣
Circle S2 is completely inside S1
⟹ No common tangents
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