CAIE A-Level Mathematics A2 3.9.7 Complex Numbers Questions
Practise using complex-number geometry on Argand diagrams to identify transformations, lines and geometric relationships.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
Exam points
- interpret multiplication and conjugation geometrically on Argand diagrams
- identify geometric relationships between points and line segments
- use complex representations to prove geometric properties
CAIE A-Level Mathematics A2 3.9.7 Complex Numbers Questions question 1
[Maximum number: 2]
The complex numbers u and v are defined by u=-4+2 i and v=3+i.
In an Argand diagram, with origin O, the points A, B and C represent the complex numbers u, v and 2 u+v respectively.
State fully the geometrical relationship between O A and B C.
State that O A and B C are parallel
State that B C=2 O A
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