Example 3. define f:c-cby r()= relz)=0 or im( z) = 0 otherwise then the set of points where fis analytic is (gate-2007) (a):: rel:) = 0 and im(:) #0} (c) : rel:

Example 3. Define f:C-Cby r()= Relz)=0 or Im( z) = 0 otherwise Then the set of points where fis analytic is (GATE-2007) (a):: Rel:) = 0 and Im(:) #0} (c) : Rel:)+ 0 or Im (:)*0} (h) f:: Rel:) + 0} (dy z: Iml:) : 0}