Your Practice Set – Applications and Interpretation for IBDP Mathematics
21
Paper 1 – Argand Diagrams
Example
In the following Argand diagram with the origin O , the point A represents the complex number �4 � 10i . The shape of OABC is a square .
( a ) Determine the complex numbers represented by
( i ) the point B ;
( ii ) the point C .
( b ) Hence , find the area of OABC .
[ 4 ]
[ 2 ]
Solution
( a ) ( i ) zB
� �4 �10i � ( 10 � 4i ) M1 z �6 � 14i A1
B
( b ) The area of OABC
z � 0 � 0i � ( 10 � 4i ) M1
C z �10 � 4i A1
C
2
� ( OA ) M1
2 2 2
� ( ( �4 ) � 10 )
� 116
A1
[ 4 ]
[ 2 ]
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