Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

The diagram displays the locus of points for the complex numbers $z$ that satisfy $|z + 5 - 4i| = 3$.
(a)[3]

For the points on this locus, determine the greatest and least possible values of $|z|$.

(b)[3]

For the points on this locus, determine the smallest possible value of $\arg z$.

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This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use a correct method to find the distance from the origin to the centre of the circle

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