AQA Further Paper 2 2020 June — Question 2

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
Year2020
SessionJune
TopicComplex 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. $$\begin{aligned} & \arg ( - a - b \mathrm { i } ) = \pi - \varphi
& \arg ( a - b \mathrm { i } ) = - \varphi
& \arg ( b + a \mathrm { i } ) = \frac { \pi } { 2 } - \varphi
& \arg ( b - a \mathrm { i } ) = \varphi - \frac { \pi } { 2 } \end{aligned}$$