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Spot the false statement

Exercise and reference answers

Questions
  1. False statement
    The modulus is itself complex
    Statements
    1. The modulus is never negative
    2. The conjugate flips the imaginary sign
    3. The modulus is itself complex
  2. False statement
    Both axes carry real parts
    Statements
    1. Both axes carry real parts
    2. The x-axis is the real axis
    3. The y-axis is the imaginary axis
  3. False statement
    Neither operation is associative
    Statements
    1. Addition of complex numbers commutes
    2. Neither operation is associative
    3. Multiplication of complex numbers commutes
  4. False statement
    x squared plus one has a real root
    Statements
    1. Zero is the additive identity
    2. One is the multiplicative identity
    3. x squared plus one has a real root
Instructions
Two statements are true and one is false. Tap the false one.

Explanation

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