Neco 2017 Further Mathematics Question 5

Practice objective / multiple choice question 5 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 5 NECO • 2017 • FURTHER_MATHEMATICS • objective

Let \( z \) be a complex number such that \( |z - 2i| = 3 \) and \( \arg(z) = \frac{\pi}{6} \). Find the exact value of \( z^{2} \).

A. (\\frac{7}{2} - \\sqrt{6}) + i(\\frac{7\\sqrt{3}}{2} + 3\\sqrt{2})

Correct Answer B. (\frac{7}{2} + \sqrt{6}) + i(\frac{7\sqrt{3}}{2} + 3\sqrt{2})

C. (\\frac{7}{2} + \\sqrt{6}) + i(\\frac{7\\sqrt{3}}{2} - 3\\sqrt{2})

D. (\\frac{5}{2} + \\sqrt{6}) + i(\\frac{7\\sqrt{3}}{2} + 3\\sqrt{2})

Correct Answer

Correct Option:

(\frac{7}{2} + \sqrt{6}) + i(\frac{7\sqrt{3}}{2} + 3\sqrt{2})

This is Neco 2017 Further Mathematics Question 5. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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