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How many common tangents do two circles of radii 6 cm and 4 cm have if their centres are 3 cm apart?

Competition practiceGeometry
  • A2
  • B0
  • C1
  • D4

Step-by-Step Solution

6 − 4 = 2 < 3 < 6 + 4 = 10, so the circles cut each other at two points. Intersecting circles have exactly two common tangents (both direct).
Answer: A) 2

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