Gce Model Questions Vol1 2025 Further Mathematics Question 22

Practice objective / multiple choice question 22 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 22 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

Let \(z\) be a complex number satisfying \(|z+1|=|z-2i|\) and \(\operatorname{Arg}(z-1)=\frac{\pi}{4}\). Find the exact value of \(z\) and then evaluate \(z^{2}+\overline{z}\).

Answer Options

A. 5/2 + i/9
B. 5/2 - 2i/9
Correct Answer C. 5/2 + 2i/9
D. 3/2 + 2i/9
Correct Answer
C
Correct Option:
5/2 + 2i/9

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 22. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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