Candidates should answer the TWO COMPULSORY QUESTIONS.
Time Allowed : 2 hours.
Only calculators that conform to the list of models approved by the School of Engineering
may be used in this examination. The Engineering Data Book and standard graph paper will
be provided.
Read carefully the instructions on the answer book and make sure that the particulars required are
entered on each answer book.
(vii) Two complex numbers are given by 𝒛𝟏 = 𝟑 + 𝟒𝒊 and 𝒛𝟐 = 𝟐𝒆𝟎.𝟖𝒊 . Find
(a) Find 𝒛𝟑 = 𝒛𝟏 ∙ 𝒛𝟐 , with 𝒛𝟑 expressed in modulus argument form (3 marks)
(b) Divide the complex conjugate of 𝒛𝟏 by 𝒛 = 2 + 5𝑖, expressing your answer
in the form 𝑎 + 𝑖𝑏. (3 marks)
Question 1 Continued Overleaf
1
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