Apps. and Interpretation for IBDP Maths Ebook 2 | Page 67

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z 2 . z is a complex number such that 1 0.5i
1� z .
( a )
Express z in the form a� bi
, where a , b�
.
( b )
Hence , write down the imaginary part of z .
[ 3 ]
[ 1 ]
3 . z is a complex number such that 2z �1�i � 5� 7i .
( a ) Express z in the form a� bi , where a , b� .
( b ) Express
4
z in the form
( c ) Hence , write down the real part of
a� bi , where a , b� .
4
z .
[ 2 ]
[ 2 ]
[ 1 ]

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4 . z is a complex number such that z 24 � 7i
� . 5 �12i i
( a ) Express z in the form a� bi , where a , b� .
( b ) Express
3 2
( i z ) in the form a� bi , where a , b� .
( c ) Hence , write down the imaginary part of
3 2
( i z ) .
[ 2 ]
[ 2 ]
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