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  1. Let f : ℂ\{3i}→ℂ be defined by f(z) = (z-i)/(iz+3). Which of the following statements about f is FALSE?
  2. A.
    f is conformal on â„‚\{3i}
    B.
    f maps circles in â„‚\{3i} onto circles in â„‚
    C.
    All the fixed points of f are in the region {z ∈ ℂ∶Im(z)>0}
    D.
    There is no straight line in â„‚\{3i} which is mapped onto a straight line in â„‚ by f

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    Answer : Option C

    Explanation :

    -NA-


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