Moderate -0.8 This is a straightforward recall question worth only 1 mark with multiple choice format. Finding asymptotes of a hyperbola x²/a² - y²/b² = 1 using the standard formula y = ±(b/a)x requires minimal calculation (√3/1) and no problem-solving. The multiple choice format further reduces difficulty by eliminating the need to derive or verify the answer independently.
3 Find the equations of the asymptotes of the curve \(x ^ { 2 } - 3 y ^ { 2 } = 1\)
Circle your answer. [0pt]
[1 mark]
$$y = \pm 3 x \quad y = \pm \frac { 1 } { 3 } x \quad y = \pm \sqrt { 3 } x \quad y = \pm \frac { 1 } { \sqrt { 3 } } x$$
Turn over for the next question
\(\mathbf { 4 } \quad \mathbf { A } = \left[ \begin{array} { l l } 1 & 2 \\ 1 & k \end{array} \right] \quad \mathbf { B } = \left[ \begin{array} { c c } - 1 & 0 \\ 0 & 1 \end{array} \right]\)
3 Find the equations of the asymptotes of the curve $x ^ { 2 } - 3 y ^ { 2 } = 1$
Circle your answer.\\[0pt]
[1 mark]
$$y = \pm 3 x \quad y = \pm \frac { 1 } { 3 } x \quad y = \pm \sqrt { 3 } x \quad y = \pm \frac { 1 } { \sqrt { 3 } } x$$
Turn over for the next question\\
$\mathbf { 4 } \quad \mathbf { A } = \left[ \begin{array} { l l } 1 & 2 \\ 1 & k \end{array} \right] \quad \mathbf { B } = \left[ \begin{array} { c c } - 1 & 0 \\ 0 & 1 \end{array} \right]$\\
\hfill \mbox{\textit{AQA Further AS Paper 1 Q3 [1]}}