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Question

Mathematics Question on Analytic functions

Match List I with List II

| LIST I| | LIST II
---|---|---|---
A.| f(z)=z3f(z)=z^3| I.| Not analytic any where
B.| f(z)=1zf(z)=\frac{1}{z}| II.| Analytic at Z = 0 only
C.| f(z)=zˉf(z)=\bar z| III.| Analytic everywhere
D.| f(z)=zzˉf(z)=z\bar z| IV.| Not analytic at Z = 0

Choose the correct answer from the options given below:

A

A I, B II, C III, D IV

B

A II, B I, C IV, D III

C

A III, B IV, C I, D II

D

A IV, B III, C II, D I

Answer

A III, B IV, C I, D II

Explanation

Solution

The correct option is(C)A III, B IV, C I, D II: