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Paragraph Let the origin O of the argand plane represents the home town of a person. Suppose the man travels 2 units in north-east direction to reach city A. Then he travels 1 unit in east direction to reach town B . From town B he starts to move along a circular path, in anticlockwise direction with centre O and radius OB , to reach to city C such that BOC is right angle. Finally he returns home by the shortest path

Options

  1. A10
  2. B10 -2
  3. C2+ 10
  4. Dnone of these

Correct answer

C. 2+ 10

Step-by-step solution

From figure maximum value of |z_p-z_q |= 9+1 +2=2+ 10

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