CAIE A-Level Mathematics A2 3.9.2 Complex Numbers Questions

Practise arithmetic with complex numbers, including products, quotients and complex equations.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • perform arithmetic with complex numbers in Cartesian and polar forms
  • solve quadratic and algebraic equations over the complex numbers
  • simplify complex expressions and verify conjugate relationships

CAIE A-Level Mathematics A2 3.9.2 Complex Numbers Questions question 1

[Maximum number: 3]

The complex numbers u and v are defined by u=-4+2 i and v=3+i.

Find uv\frac{u}{v} in the form x+i y, where x and y are real.

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