CAIE A-Level Mathematics A2 3.9.1 Complex Numbers Questions

Practise modulus, argument and polar forms for complex numbers in the AS mathematics syllabus.

Exam points

[Maximum number: 2]

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

Hence express $\frac{u}{v}$ in the form $r \mathrm{e}^{\mathrm{i} \theta}$ , where r and $\theta$ are exact.

State or imply $r=\sqrt{2}$
B1 FT
State or imply that $\theta=\frac{3}{4} \pi$
B1 FT

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