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A-Level MathematicsYear 2021Q8

24 8. (i) The point P is one vertex of a regular pentagon in an Argand diagram. The centre of the pentagon is at the origin. Given that P represents the complex number 6 + 6i , determine the complex numbers that represent the other vertices of the pentagon, giving your answers in the form reiθ (5) (ii) (a) On a single Argand diagram, shade the region, R, that satisfies both | z − 2i |  2 and 1 4 π  arg z  1 3 π (2) (b) Determine the exact area of R, giving your answer in simplest form. (4) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_02_que_20211008.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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