Analysis and Approaches for IBDP Maths Ebook 2 | Page 116

Your Practice Set – Analysis and Approaches for IBDP Mathematics
3. In an Argand diagram with the origin O , the points A , B , C and D represent the
z
complex numbers z �4� 4i , z � 8i , � � � 4 and � � respectively.
2
(a)
Sketch the points A , B , C and D on the following Argand diagram, and sketch
the quadrilateral ABDC .
[3]
(b) Find arg( � ).
(c) Hence, find the area of the quadrilateral ABDC .
[2]
[2]
4. In an Argand diagram with the origin O , the points A , B and C represent the complex
�
numbers z � �3� 6i , 3z � 27i and (1.5 z � 22.5) respectively.
(a)
Sketch the points A , B and C on the following Argand diagram, and sketch
the triangle ABC .
[3]
(b) Find arg(3z � 27i) .
(c) Hence, find the exact area of the triangle ABC .
[2]
[2]
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