Analysis and Approaches for IBDP Maths Ebook 2 | Page 115

Exercise 34
1. In the following Argand diagram with the origin O , the point A and the point B
represent the complex numbers �2
� 9i and 3� 3i respectively. The shape of ABCD is a
rectangle such that AD � 2AB .
(a) Determine the complex numbers represented by the points C and D .
(b) Hence, find the area of ABCD .
[4]
[2]
2. In the following Argand diagram with the origin O , the point A represents the complex
numbers �18 � 10i . The shape of ABC is an equilateral triangle with the horizontal side
AB � 20 .
9
(a) Determine the complex numbers represented by the points B and C .
(b) Hence, find the exact area of ABC .
[4]
[2]
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