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David · Accepted Answer

5.  ( )   (   )    (   ) 
Since the function is given to be analytic, it should satisfy the following equations,
  
 

  
    
  
  
  

  
 
    
 
  
  
  
 

    

  
  
  
  
 
      
   
    
 
      (   )     (   )       
 (
 
  
  
  
 

    
)   (
  
)
    

Hence, the given equation is satisfied by   (   ) also. 
7.  ( )   (   )    (   )  Let    (     ) be any point common to both the lines. 
Since the function is given to be analytic, it should satisfy the Cauchy – Riemann equations.

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