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1976 AMC 12 Question 26

AMC12 · 1976 AMC 12

Question 26

In the adjoining figure, every point of circle $O'$ is exterior to circle $O.$ Let $P$ and $Q$ be the points of intersection of an internal common tangent with the two external common tangents. Then the length of $PQ$ is

Question illustration
  1. the average of the lengths of the internal and external common
    tangents
  2. equal to the length of an external common tangent if and only
    if circles $O$ and $O'$ have equal radii
  3. always equal to the length of an external
    common tangent
  4. greater than the length of an external common tangent
  5. the geometric mean of the lengths of the internal and external
    common tangents