Neco 2022 Further Mathematics Question 25

Practice objective / multiple choice question 25 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 25 NECO • 2022 • FURTHER_MATHEMATICS • objective

Let \(z\) be a complex number satisfying \(|z-1| = \sqrt{2}\) and \(\arg(z)=\frac{\pi}{4}\). Determine \(z\) in the form \(x+iy\) and then compute \(z^{2}\).

Correct Answer A. z = ((1+\sqrt{3})/2)(1+i), z^2 = (2+\sqrt{3})i

B. z = ((1+\sqrt{3})\/2)(1+i), z^2 = (2+\sqrt{3})

C. z = ((1-\sqrt{3})\/2)(1+i), z^2 = (2-\sqrt{3})i

D. z = ((1+\sqrt{3})\/2)(1-i), z^2 = -(2+\sqrt{3})i

Correct Answer

Correct Option:

z = ((1+\sqrt{3})/2)(1+i), z^2 = (2+\sqrt{3})i

This is Neco 2022 Further Mathematics Question 25. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Hard .

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