smc-1048-30-Other

Complex Numbers, EXT2 N1 2023 HSC 1 MC

Which of the following is equal to ?

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Find . (2 marks)

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Given that , where for all values of and is equal to

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Calculate

giving your answer in the form (3 marks)

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Let be a complex number such that .

Which of the following is a possible value for ?

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It is given that , are real and , are purely imaginary.

Which pair of inequalities must always be true?

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Write in the form where and are real. (1 mark)

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