Gce Model Questions Vol1 2017 Further Mathematics Question 32

Practice objective / multiple choice question 32 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 32 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

A complex number \(z\) satisfies \(|z-3| = 2\) and \(\arg(z) = \frac{\pi}{6}\). Moreover, the real part of \(z\) exceeds 2. Find the exact value of \(z\) and then evaluate \(\frac{z^{3}-\overline{z}}{z}\).

Answer Options

A. 3(5+\sqrt{21})\/4 + i\,\sqrt{3}\,(19-3\sqrt{21})\/4
Correct Answer B. 3(5+\sqrt{21})/4 + i\,\sqrt{3}\,(19+3\sqrt{21})/4
C. 3(5+\sqrt{21})\/4 - i\,\sqrt{3}\,(19+3\sqrt{21})\/4
D. 3(5-\sqrt{21})\/4 + i\,\sqrt{3}\,(19+3\sqrt{21})\/4
Correct Answer
B
Correct Option:
3(5+\sqrt{21})/4 + i\,\sqrt{3}\,(19+3\sqrt{21})/4

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 32. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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