| Exam Board | AQA |
| Module | Further Paper 2 (Further Paper 2) |
| Year | 2020 |
| Session | June |
| Topic | Complex Numbers Argand & Loci |
2 Given that arg \(( a + b \mathrm { i } ) = \varphi\), where \(a\) and \(b\) are positive real numbers and \(0 < \varphi < \frac { \pi } { 2 }\), three of the following four statements are correct.
Which statement is not correct?
Tick \(( \checkmark )\) one box.
$$\begin{aligned}
& \arg ( - a - b \mathrm { i } ) = \pi - \varphi
& \arg ( a - b \mathrm { i } ) = - \varphi
& \arg ( b + a \mathrm { i } ) = \frac { \pi } { 2 } - \varphi
& \arg ( b - a \mathrm { i } ) = \varphi - \frac { \pi } { 2 }
\end{aligned}$$