Gce Model Questions Vol1 2022 Further Mathematics Question 39

Practice objective / multiple choice question 39 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 39 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

Let \(z\) be a complex number with \(|z|=2\) and \(\arg(z)=\frac{\pi}{4}\). Evaluate \(\displaystyle \frac{z^{3}-\overline{z}}{z-\overline{z}}\).

Answer Options

A. \frac{5}{2}(-1+i)
B. \frac{5}{2}(i-1)
C. \frac{5}{2}(1-i)
Correct Answer D. \frac{5}{2}(1+i)
Correct Answer
D
Correct Option:
\frac{5}{2}(1+i)

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 39. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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