Complex Numbers


   
 
Properties of Complex numbers
If Z, Z1 and Z2 are complex numbers, then
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Let Z = a + ib
 
k |Z| = k(a + ib) = ka + ikb
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
RHS
 
 
 
 
 
 
 
 
Let Z = a + ib, then
 
 
 
 
 
 
2ib
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
   
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