Gce Model Questions Vol1 2023 Further Mathematics Question 8

Practice objective / multiple choice question 8 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 8 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

Let \(w\) be a complex number satisfying \(w^{3}=8i\) with \(\operatorname{Re}(w)>0\). Compute \(\displaystyle \frac{w^{2}+\overline{w}}{w-i}\) and express your answer in the form \(a+bi\).

Answer Options

A. (1-2\/\sqrt{3})+i\left(2-1\/\sqrt{3}\right)

B. (1-2\/\sqrt{3})+i\left(2+1\/\sqrt{3}\right)

C. (1+2\/\sqrt{3})+i\left(2+1\/\sqrt{3}\right)

Correct Answer D. (1+2/\sqrt{3})+i\left(2-1/\sqrt{3}\right)

Correct Answer

Correct Option:

(1+2/\sqrt{3})+i\left(2-1/\sqrt{3}\right)

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 8. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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