<p>A curve $C$ has equation ${{\left( y-kx \right)}^{2}}+8y-12=0$, where $k$ is a real constant.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x,y$ and $k$.</span></div><p style="text-align: right;">[2]</p></li><li><div class="list-item-content"><span class="list-item-text">The tangent to $C$ at the point where $x=2$ is parallel to the $y$-axis. Find the value of $k$.</span></div><p style="text-align: right;">[3]</p></li></ol>

A curve $C$ has equation ${{\left( y-kx \right)}^{2}}+8y-12=0$, where $k$ is a real constant.

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x,y$ and $k$.

The tangent to $C$ at the point where $x=2$ is parallel to the $y$-axis. Find the value of $k$.

2020 ACJC PROMO Q3

2020 ACJC PROMO Q3

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