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Australian AMC 2013 - Intermediate Question 22

AMC AUSTRALIA · Australian AMC 2013 - Intermediate

Question 22

Two circles, one of radius 1 and the other of radius 2, touch externally at P. A straight line through P cuts the area formed by these two circles in the ratio 1 : 2. In what ratio does this line cut the area of the smaller circle?

Question illustration
  1. 1 : 2
  2. 2 : 5
  3. 1 : 3
  4. 2 : 7
  5. 1 : 4