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Two circles touch each other. A student counts the common tangents and finds exactly 3.
From this count alone, what can be concluded about how the circles touch?

Class 10Number of Tangents from a PointGeometry
  • AThey touch internally
  • BThey touch externally
  • CThey are concentric
  • DThey do not touch

Step-by-Step Solution

Exactly 3 common tangents occur only when two circles touch externally (2 direct + 1 at point of contact).
Answer: B) They touch externally

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