CIE A Level Maths: Pure 3复习笔记8.2.4 Loci in Argand Diagrams
Loci in Argand Diagrams
How do I sketch the locus of 
or
on an Argand diagram?
- All complex numbers,
, that satisfy the equation
lie on a vertical line with Cartesian equation
- Any complex number along this vertical line will have a real part of
- Any complex number along this vertical line will have a real part of
- All complex numbers, , that satisfy the equation
lie on a horizontal line with Cartesian equation
- Any complex number along this horizontal line will have an imaginary part of
- Any complex number along this horizontal line will have an imaginary part of
- E.g. The loci
and
are represented by the vertical line
and the horizontal line
Sketching the loci of 
and 
Worked Example
Exam Tip
- In the exam, do not worry about making your diagrams perfect.
- A quick sketch with all the key features is sufficient.
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