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Specialist2026 NHT Exam 2 Section A · Q5CAS active1 mark

Maximum modulus on a circle

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Consider the circle given by $|z - 2 - i| = 3$ , where $z \in C$ .

The maximum value of $|z|$ for those points that lie on this circle is

1 mark

A

2+2\sqrt{2}

B

3+\sqrt{5}

C

1+\sqrt{5}

D

3-\sqrt{5}

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