Neco 2021 Further Mathematics Question 43

Practice objective / multiple choice question 43 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 43 NECO • 2021 • FURTHER_MATHEMATICS • objective

In the complex plane, let \(z\) satisfy \(|z-2i|=2\) and \(\arg (z+1)=\frac{\pi}{4}\). Determine all possible values of \(z^{3}\).

A. z^{3}=(-19-7\\sqrt{7})+i(3-\\sqrt{7}) \\text{ or } (-19+7\\sqrt{7})+i(3+\\sqrt{7})

Correct Answer B. z^{3}=(-19-7\sqrt{7})+i(3+\sqrt{7}) \text{ or } (-19+7\sqrt{7})+i(3-\sqrt{7})

C. z^{3}=(-19-5\\sqrt{7})+i(3+\\sqrt{7}) \\text{ or } (-19+5\\sqrt{7})+i(3-\\sqrt{7})

D. z^{3}=(-21-7\\sqrt{7})+i(3+\\sqrt{7}) \\text{ or } (-21+7\\sqrt{7})+i(3-\\sqrt{7})

Correct Answer

Correct Option:

z^{3}=(-19-7\sqrt{7})+i(3+\sqrt{7}) \text{ or } (-19+7\sqrt{7})+i(3-\sqrt{7})

This is Neco 2021 Further Mathematics Question 43. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Hard .

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Chat with Support