Neco 2021 Further Mathematics Question 38

Practice objective / multiple choice question 38 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 38 NECO • 2021 • FURTHER_MATHEMATICS • objective

Let \(z\) be a complex number satisfying \(|z-(2+2i)|=2\) and \(\arg(z)=\frac{\pi}{6}\).\\n(a) Determine the value(s) of \(z\).\\n(b) Compute \(z^{3}+\overline{z}^{\,3}\).

A. z = 4.593(√3\/2 + i\/2) or 0.871(√3\/2 + i\/2); z³+\overline{z}³ = 12

B. z = 4.593(√3\/2 - i\/2) or 0.871(√3\/2 - i\/2); z³+\overline{z}³ = 0

C. z = 5.000(√3\/2 + i\/2) or 0.800(√3\/2 + i\/2); z³+\overline{z}³ = 0

Correct Answer D. z = 4.593(√3/2 + i/2) or 0.871(√3/2 + i/2); z³+\overline{z}³ = 0

Correct Answer

Correct Option:

z = 4.593(√3/2 + i/2) or 0.871(√3/2 + i/2); z³+\overline{z}³ = 0

This is Neco 2021 Further Mathematics Question 38. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Hard .

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