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Circles of radii 5 cm and 3 cm have centres exactly 8 cm apart. How many common tangents can be drawn to them?

Competition practiceGeometry
  • A3
  • B2
  • C4
  • D1

Step-by-Step Solution

The distance between the centres equals 5 + 3, so the circles touch externally. They have two direct tangents and one tangent at the point of contact: 3 in all.
Answer: A) 3

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