Discussion :: GATE Mathematics
- Let f : ℂ\{3i}→ℂ be defined by f(z) = (z-i)/(iz+3). Which of the following statements about f is FALSE?
A.
f is conformal on â„‚\{3i}
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B.
f maps circles in â„‚\{3i} onto circles in â„‚
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C.
All the fixed points of f are in the region {z ∈ ℂ∶Im(z)>0}
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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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