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Let f : ℂ\{3i}→ℂ be defined by f(z) = (z-i)/(iz+3). Which of the following statements about f is FALSE?
Options:
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
Answer: Option C


-NA-


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