Your Practice Set – Applications and Interpretation for IBDP Mathematics
3 . In an Argand diagram with the origin O , the points A , B , C and D represent the complex numbers z �4� 4i ,
*
z , � � �2 � 2i and � � respectively .
( a ) Sketch the points A , B , C and D on the following Argand diagram , and sketch the quadrilateral ABDC .
[ 3 ]
( b ) Find arg ( � ).
( c ) 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 , z �6� 15i and
*
( 18 � 9i ) respectively .
( a ) Sketch the points A , B and C on the following Argand diagram , and sketch the triangle ABC .
[ 3 ]
( b ) Find arg ( z �6� 15i ) .
( c ) Find the exact area of the triangle ABC .
[ 2 ]
[ 2 ]
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