17M.1.AHL.TZ2.H_5

pestleMathematicsAAHLPaper 117M· ahl-1-12-complex-numbers-cartesian-form-and-argand-diagsource ↗

In the following Argand diagram the point A represents the complex number $- 1 + 4{\text{i}}$ and the point B represents the complex number $- 3 + 0{\text{i}}$ . The shape of ABCD is a square. Determine the complex numbers represented by the points C and D.

M17/5/MATHL/HP1/ENG/TZ2/05

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

C represents the complex number $1 - 2{\text{i}}$ A2

D represents the complex number $3 + 2{\text{i}}$ A2

[4 marks]

Examiners’ report

[N/A]