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Knock out the true statements

Exercise and reference answers

Questions
  1. Question
    Eliminate the true statements about complex numbers.
    Choices
    1. Item
      The modulus may come out negative
      Correct
      Yes
    2. Explanation
      The conjugate of a plus ib is a minus ib.
      Item
      The conjugate changes the sign of b
    3. Explanation
      The x-axis is the real axis and the y-axis the imaginary one.
      Item
      The Argand plane has two named axes
    4. Explanation
      For any two complex numbers the sum is the same either way round.
      Item
      Complex addition is commutative
Instructions
Remove the statements that are true. One false one should survive.

Explanation

_Source: syllabus Mathematics, Ch 4 'Complex Numbers and Quadratic Equations'_
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