Direct division of complex numbers

Questions that ask to express a single quotient z₁/z₂ in Cartesian form a + bi by multiplying numerator and denominator by the conjugate of the denominator.

3 questions

OCR FP1 2009 January Q1

1 Express \(\frac { 2 + 3 \mathrm { i } } { 5 - \mathrm { i } }\) in the form \(x + \mathrm { i } y\), showing clearly how you obtain your answer.

OCR Further Pure Core 1 Specimen Q1

1 Show that \(\frac { 5 } { 2 - 4 \mathrm { i } } = \frac { 1 } { 2 } + \mathrm { i }\).

AQA Further Paper 2 2022 June Q1

1 Find the imaginary part of $$\frac { 5 + \mathrm { i } } { 1 - \mathrm { i } }$$ Circle your answer.
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