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Date November Example question Marks available 3 Reference code EXN.1.AHL.TZ0.14
Level Additional Higher Level Paper Paper 1 Time zone Time zone 0
Command term Find Question number 14 Adapted from N/A

Question

Write down 2+5i in exponential form.

[2]
a.

An equilateral triangle is to be drawn on the Argand plane with one of the vertices at the point corresponding to 2+5i and all the vertices equidistant from 0.

Find the points that correspond to the other two vertices. Give your answers in Cartesian form.

[3]
b.

Markscheme

* This sample question was produced by experienced DP mathematics senior examiners to aid teachers in preparing for external assessment in the new MAA course. There may be minor differences in formatting compared to formal exam papers.

5.385e1.1902i5.39e1.19i         A1A1

 

Note: Accept equivalent answers: 5.39e-5.09i

 

[2 marks]

a.

multiply by e2π3i         (M1)

-5.33-0.77i, 3.33-4.23i         A1A1

 

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 1—Number and algebra » AHL 1.12—Complex numbers introduction
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