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SMO 2009 Junior Round 1 Question 1

SMO · SMO 2009 Junior Round 1

Question 1

Let $C_1,C_2$ be distinct circles of radius $7$ cm in the same plane, tangent to each other. How many circles of radius $26$ cm in this plane are tangent to both $C_1$ and $C_2$?
  1. $2$
  2. $4$
  3. $6$
  4. $8$
  5. None of the above.