Neco 2019 Further Mathematics Question 26

Practice objective / multiple choice question 26 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 26 NECO • 2019 • FURTHER_MATHEMATICS • objective

Let \(z\) be a complex number such that the quotient \(\frac{z-(1+2i)}{z+(3-i)}\) is purely imaginary. Find the value of \(z\) that has the smallest modulus.

A. (sqrt(5)-1) - (sqrt(5)+1)\/2*i

B. (sqrt(5)+1) - (sqrt(5)+1)\/2*i

C. (sqrt(5)-1) + (sqrt(5)-1)\/2*i

Correct Answer D. (sqrt(5)-1) - (sqrt(5)-1)/2*i

Correct Answer

Correct Option:

(sqrt(5)-1) - (sqrt(5)-1)/2*i

This is Neco 2019 Further Mathematics Question 26. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Hard .

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