Spot the false statement
Exercise and reference answers
- Questions
- False statement
- The modulus is itself complex
- Statements
- The modulus is never negative
- The conjugate flips the imaginary sign
- The modulus is itself complex
- False statement
- Both axes carry real parts
- Statements
- Both axes carry real parts
- The x-axis is the real axis
- The y-axis is the imaginary axis
- False statement
- Neither operation is associative
- Statements
- Addition of complex numbers commutes
- Neither operation is associative
- Multiplication of complex numbers commutes
- False statement
- x squared plus one has a real root
- Statements
- Zero is the additive identity
- One is the multiplicative identity
- 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'_