Complex Numbers (CIE A Level Maths: Pure 3)

Exam Questions

3 hours36 questions

2 marks

$z_{1} = 3 + i$ and $z_{2} = - 5 + 2 i$

(i)

Work out

z_{1} + z_{2}

and

z_{1} - z_{2} .

(ii)

Use your answers to part (i) to write down

Re (z_{1} + z_{2})

and

Im (z_{1} - z_{2}) .

How did you do?

2 marks

By first writing $z_{1} \times z_{2} = (3 + i) (- 5 + 2 i)$ , and then expanding brackets and using the fact that $i^{2} = - 1$ , show that

$z_{1} \times z_{2} = - 17 + i$

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