Gce Model Questions Vol1 2019 Further Mathematics Question 25

Practice objective / multiple choice question 25 from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 25 GCE_MODEL_QUESTIONS_VOL1 • 2019 • FURTHER_MATHEMATICS • objective

Let \(z\) be the principal cube root of \(8i\) (i.e., the root with argument \(\pi/6\)). Compute \(\displaystyle S=\frac{1}{z}+\frac{1}{z^{2}}+\frac{1}{z^{4}}\) and express your answer in the form \(a+bi\) with exact surds.

Answer Options

A. (8\sqrt{3}+3)\/32 + i*(8+5\sqrt{3})\/32
B. (8\sqrt{3}+3)\/16 - i*(8+5\sqrt{3})\/16
Correct Answer C. (8\sqrt{3}+3)/32 - i*(8+5\sqrt{3})/32
D. (8\sqrt{3}-3)\/32 - i*(8-5\sqrt{3})\/32
Correct Answer
C
Correct Option:
(8\sqrt{3}+3)/32 - i*(8+5\sqrt{3})/32

About This Question

This is Gce Model Questions Vol1 2019 Further Mathematics Question 25. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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