2023TrialShort answer

Q13 (b)

3 marks

Question

Sketch the intersection of the following:

|z-3|=3 \qquad\text{and}\qquad -\frac{\pi}{4}\leq\operatorname{Arg}(z)\leq\frac{\pi}{4}.

Try the question before revealing the answer.

Syllabus alignment

Complex Numbers

Geometrical implications of complex numbersInterpret complex-number operations geometrically and solve problems involving roots and loci in the complex plane.
Geometric representation of a complex numberRepresent complex numbers in the complex plane and use modulus, argument and polar form with their identities.

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