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MathNet 2003 — Part 01 Question 194

Math Olympiad Vault · MathNet 2003 — Part 01

Question 194

Three circles pass through the origin. The center of the first circle is in the first quadrant, the center of the second is in the second quadrant, the center of the third is in the third quadrant. If $P$ is a point inside the three circles, then
  1. $P$ is in the second quadrant
  2. $P$ is in the first or third quadrant
  3. $P$ is in the fourth quadrant
  4. there cannot be such a point $P$
  5. nothing can be said.