Gce Model Questions Vol1 2025 Further Mathematics Question 1

Practice objective / multiple choice question 1 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 1 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

Let $z$ be a complex number such that $|z-(2+3i)|=5$ and $\operatorname{Arg}(z)=\frac{\pi}{6}$. Find $z$ and then evaluate $z^{2}+\overline{z}$. Give your answer in the form $a+bi$ rounded to two decimal places.

Answer Options

A. 38.70-51.06i
B. 38.70+46.06i
Correct Answer C. 38.70+51.06i
D. 33.70+51.06i
Correct Answer
C
Correct Option:
38.70+51.06i

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 1. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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