For the two circles in Figures (a), (b), and (c),
Caelan
Answered question
2021-08-17
For the two circles in Figures (a), (b), and (c), find the total number of common tangents (internal and external).
a) 
b) 
c) 
Answer & Explanation
Cristiano Sears
Skilled2021-08-18Added 96 answers
Step 1
We have to find
Total Number of common tangents (Internally and externally)
As we know,
Two circles in the same plane have Common Internal Tangent if they intersect in exactly one point and the intersection of their interiors is not empty.
Two circles in the same plane have Common External Tangent if they intersect in exactly one point and the intersection of their interiors is empty
Step 2
a) 
Answer:
2 External Tangent
1 Internal Tangent
Step 3
b) 
Answer :
2 External Tangent
0 Internal Tangent
Step 4
c) 
0 External Tangent
0 Internal Tangent
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