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KVPY2011MathematicsCircle

Three circles each of radius 1 , touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is

Options

  1. A2+ 3
  2. B3+ 3
  3. C4
  4. D2+ 1 3

Correct answer

A. 2+ 3

Step-by-step solution

60^ = A D 2 A D=2 60^ = 2 3 2 = 3 d=1+A D+1d=2+ 3

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