AQA Further Paper 1 2023 June — Question 2 1 marks

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
Year2023
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicComplex Numbers Argand & Loci
TypeCircle equations in complex form
DifficultyEasy -1.2 This is a straightforward recognition question requiring students to identify a circle's equation from its Argand diagram by reading off the center and radius. While it's a Further Maths topic (complex numbers loci), it's a 1-mark multiple choice question testing only basic recall of the form |z - z₀| = r, making it easier than average overall.
Spec4.02k Argand diagrams: geometric interpretation

The diagram below shows a locus on an Argand diagram. \includegraphics{figure_2} Which of the equations below represents the locus shown above? Circle your answer. [1 mark] \(|z - 2 + 3\mathrm{i}| = 2 \quad |z + 2 - 3\mathrm{i}| = 2 \quad |z - 2 + 3\mathrm{i}| = 4 \quad |z + 2 - 3\mathrm{i}| = 4\)

Question 2:
AnswerMarks Guidance
2Circles correct answer 1.2
Total1
QMarking instructions AO
Question 2:
2 | Circles correct answer | 1.2 | B1 | z−2+3i =2
Total | 1
Q | Marking instructions | AO | Marks | Typical solution
The diagram below shows a locus on an Argand diagram.

\includegraphics{figure_2}

Which of the equations below represents the locus shown above?

Circle your answer.
[1 mark]

$|z - 2 + 3\mathrm{i}| = 2 \quad |z + 2 - 3\mathrm{i}| = 2 \quad |z - 2 + 3\mathrm{i}| = 4 \quad |z + 2 - 3\mathrm{i}| = 4$

\hfill \mbox{\textit{AQA Further Paper 1 2023 Q2 [1]}}