Gce Model Questions Vol1 2024 Further Mathematics Question 13

Practice objective / multiple choice question 13 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Find all complex numbers \(z\) that satisfy \(|z-2i|=3\) and \(\arg(z+1)=\frac{\pi}{4}\). Give the value of \(z\) and then compute \(z^{2}\).

Answer Options

A. z = (1+√17)\/2 - i(3+√17)\/2; z^2 = (-2-√17) - i(10+2√17)
Correct Answer B. z = (1+√17)/2 + i(3+√17)/2; z^2 = (-2-√17) + i(10+2√17)
C. z = (1-√17)\/2 + i(3+√17)\/2; z^2 = (-2+√17) + i(10-2√17)
D. z = (1+√17)\/2 + i(3-√17)\/2; z^2 = (-2-√17) + i(10-2√17)
Correct Answer
B
Correct Option:
z = (1+√17)/2 + i(3+√17)/2; z^2 = (-2-√17) + i(10+2√17)

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 13. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

View More Gce Model Questions Vol1 2024 Further Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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