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SMO 2009 Senior Round 1 Question 1

SMO · SMO 2009 Senior Round 1

Question 1

Suppose that $\pi$ is a plane and $A,B$ are two points on the plane $\pi$. If the distance between $A$ and $B$ is $33$ cm, how many lines are there in the plane such that the distance between each line and $A$ is $7$ cm and the distance between each line and $B$ is $26$ cm respectively?
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. Infinitely many