<p>The curve $C$ has equation ${\frac{{{\left( x-2 \right)}^{2}}}{2}+{{\left( y-3 \right)}^{2}}=1}$.</p>
<ol class="i-list"><li><div class="list-item-paragraph">Sketch $C$,<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Hence state the range of positive values of $k$ such that&nbsp;${{\left( x-2 \right)}^{2}}+{{\left( y+3 \right)}^{2}}={{k}^{2}}$ intersects $C$ at twice.<span class="inline-marks">[2]</span></div></li></ol>

The curve $C$ has equation ${\frac{{{\left( x-2 \right)}^{2}}}{2}+{{\left( y-3 \right)}^{2}}=1}$.

Hence state the range of positive values of $k$ such that ${{\left( x-2 \right)}^{2}}+{{\left( y+3 \right)}^{2}}={{k}^{2}}$ intersects $C$ at twice.

Graphing Techniques - Parametric Equations

Question c9cc68ac

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