Neco 2020 Further Mathematics Question 19

Practice objective / multiple choice question 19 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 19 NECO • 2020 • FURTHER_MATHEMATICS • objective

A complex number \(z\) satisfies \(|z-(3+4i)|=5\) and \(\arg(z)=\pi/6\). Find \(z^{2}\).

A. (\frac{43}{2}+12\sqrt{3}) + i\left(\frac{41}{2}\sqrt{3}+36\right)

Correct Answer B. (\frac{43}{2}+12\sqrt{3}) + i\left(\frac{43}{2}\sqrt{3}+36\right)

C. (\frac{43}{2}+11\sqrt{3}) + i\left(\frac{43}{2}\sqrt{3}+36\right)

D. (\frac{45}{2}+12\sqrt{3}) + i\left(\frac{43}{2}\sqrt{3}+34\right)

Correct Answer

Correct Option:

(\frac{43}{2}+12\sqrt{3}) + i\left(\frac{43}{2}\sqrt{3}+36\right)

This is Neco 2020 Further Mathematics Question 19. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Hard .

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