A-Level MathematicsYear 2022Q5

14 5. The locus of points z satisfies | z + a i | = 3 | z – a | where a is an integer. The locus is a circle with its centre in the third quadrant and radius 3 2 2 Determine (a) the value of a, (4) (b) the coordinates of the centre of the circle. (2) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Question 5 continued Turn over 15 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________ (Total for Question 5 is 6 marks)

Paper Source:9fm0-4a-que-20220628.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)

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