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A certain city has a circular wall around it, and this wall has four gates pointing north, south, east and west. A house stands outside the city, three km north of the north gate, and it can just be seen from a point nine km east of the south gate. What is the diameter of the wall what surrounds the city?

  1. $6$ km
  2. $9$ km
  3. $12$ km
  4. None of these
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