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Two circles of radii 4 cm and 3 cm have their centres 7 cm apart.
First decide how the circles are positioned (sum of radii = 4 + 3 = 7 = distance between centres), then state how many common tangents they have.

Class 10Number of Tangents from a PointGeometry
  • A1
  • B2
  • C3
  • D4

Step-by-Step Solution

Since distance between centres (7) equals sum of radii (4+3=7), the circles touch externally, giving 3 common tangents.
Answer: C) 3

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