plumiLoci and regions in the Argand diagram: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 2.4 Loci and regions in the Argand diagram, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 9 questions on Loci and regions in the Argand diagram, as a list
- June 2025, AS Core Pure, Q7 (11 marks): The region R of the Argand diagram consists of the set of points representing complex numbers z which satisfy the following inequalities. 1 Im z ( ) 0 arg z ( 2
- June 2024, Core Pure, Q6 (6 marks): On separate Argand diagrams, sketch the set of points represented by each of the following. (a) z 1 2 i G 4 . [3] - - 1 (b) arg z ( i ) . [3] + = r 3
- June 2024, AS Core Pure, Q8 (9 marks): In an Argand diagram, the point P representing the complex number w lies on the locus defined by ^ h % /. You are given that e 3 r z : arg ( z 7 ) R w 1 . - = =
- June 2023, Core Pure, Q13 (14 marks): (a) On separate Argand diagrams, show the set of points representing each of the following inequalities. (i) z 5 [3] G (ii) z 2 4 i z 2 6 i [3] + - H - - (b) Sh
- June 2022, Core Pure, Q8 (11 marks): " , where k % / and 3 r 8 Two sets of complex numbers are given by z : arg ( z 10 ) z : z 3 6i k , - = - - = 4 is a positive constant. In an Argand diagram, one
- June 2022, AS Core Pure, Q5 (5 marks): An Argand diagram is shown below. The circle has centre at the point representing 1 3i , and the + half line intersects the circle at the origin and at the poin
- November 2021, AS Core Pure, Q9 (9 marks): (a) On a single Argand diagram, sketch the loci defined by • 3 r arg z ( 2 ) , - = 4 • z z 2 i . [4] = + - (b) In this question you must show detailed reasoning
- June 2019, AS Core Pure, Q7 (12 marks): (a) Sketch on a single Argand diagram (i) the set of points for which z 1 3 i = , 3 [3] - - 1 r (ii) the set of points for which arg z ( 4 ) . [3] + = 4 1 r (b)
- June 2018, AS Core Pure, Q9 (9 marks): Fig. 9 shows a sketch of the region OPQ of the Argand diagram defined by % / % /. 1 1 z z z z 4 2 arg | G k | r G G r 4 3 Im Q P Re O Fig. 9 (i) Find, in modulu
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