plumiLoci and regions in the Argand diagram: OCR A‑Level Further Maths questions
OCR 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 10 questions on Loci and regions in the Argand diagram, as a list
- June 2025, AS Pure Core, Q5 (8 marks): " ,. 5 The locus L is defined by L z z , z ( 20 15 i ) 7 = | ! - + G C (a) On the Argand diagram in the Printed Answer Booklet, sketch and label L. [2] (b) Dete
- June 2024, Pure Core 1, Q2 (8 marks): % /. 1 2 The locus C1 is defined by C z z 0 arg ( i ) = + r | G G 4 1 (a) Indicate by shading on the Argand diagram in the Printed Answer Booklet the region rep
- June 2024, AS Pure Core, Q4 (6 marks): The Argand diagram shows a circle of radius 3. The centre of the circle is the point which represents the complex number 4 2i . - Im O Re 4 –2 (a) Use set notat
- June 2022, Pure Core 1, Q3 (11 marks): In this question you must show detailed reasoning. 2 - (a) Find the roots of the equation z 2 2 z 5 0 . [2] + = The loci C1 and C2 are given by z z 2 i and z 2
- June 2022, AS Pure Core, Q7 (7 marks): In this question you must show detailed reasoning. Two loci, C1 and C2, are defined as follows. ' 1 % / and 1 2 C z : arg ( z 2 i ) C z : arg ( z 2 3 2 i ) = +
- November 2021, Pure Core 1, Q1 (6 marks): (a) Sketch on a single Argand diagram the loci given by (i) z 1 2 i = , 3 [2] - + (ii) z 1 z 2 . [2] + = - (b) Indicate, by shading, the region of the Argand di
- November 2021, AS Pure Core, Q4 (7 marks): " ,. 4 (a) A locus C1 is defined by C z z i z 2 = | + G - 1 (i) Indicate by shading on the Argand diagram in the Printed Answer Booklet the region representing
- November 2020, AS Pure Core, Q8 (8 marks): Two loci, C1 and C2, are defined by % / 2 C z z : z 4 d 36 = = - - 1 ' 1 1 C z : arg ( z 12 d 3 i ) = - - = r 4 2 where d is a real number. (a) Find, in terms o
- June 2019, Pure Core 1, Q2 (3 marks): Indicate by shading on an Argand diagram the region " , " , z : z z 4 z z : 3 2 i 2 . [3] G - + - - G
- June 2019, AS Pure Core, Q4 (14 marks): In this question you must show detailed reasoning. 4 3 2 You are given that ( ) f z 4 z 12 z 41 z 128 z 185 and that 2 + is a root of the equation i = - + - + f
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