Specialist2024 NHT Exam 2 Section A · Q6CAS active1 mark

Line containing a ray defined by Arg

The equation $\operatorname{Arg}(z + 2 - i) = \frac{\pi}{3}$ defines a ray in the complex plane. Identifying complex numbers $x + yi$ with the points $(x, y)$ , this ray lies on the line with equation $y = mx + c$ .

The values of $m$ and $c$ are respectively

1 mark

\frac{1}{\sqrt{3}}

and

1 + 2\sqrt{3}

\sqrt{3}

and

1 - 2\sqrt{3}

\frac{1}{\sqrt{3}}

and

2 + \sqrt{3}

\sqrt{3}

and

1 + 2\sqrt{3}

\sqrt{3}

and

2 + \sqrt{3}

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