Questions asked by Henry W.

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• Suppose that z = x + yi, where x and y are real numbers. If #(iz-1)/(z-i)# is a real number, show that when (x, y) do not equal (0, 1), #x^2# + #y^2# = 1?
  
• Addition operations in polar form? #sqrt(18)(cos175°+isin175°)+(cos40°+isin40°)#
  
• Finding the locus of a complex number?