<p>The curve \(C\) has equation \(y = \sqrt{k - x}\) , where&nbsp;\(k\) is a constant. The line \(L\) has equation \(y + x = 2k\) .</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Given that&nbsp;\(C\) and \(L\) intersect, find the range of possible values of \(k\).</span><span class="inline-marks">[3]</span></div></li></ol>
<p>Let&nbsp;\(k = \frac{1}{4}\).</p>
<ol class="abc-list" start="2"><li><div class="list-item-content"><span class="list-item-text">Sketch the graphs of \(C\) and \(L\) on a single diagram, stating the coordinates of any intersections with the axes.</span><span class="inline-marks">[3]</span></div></li></ol>

The curve \(C\) has equation \(y = \sqrt{k - x}\) , where \(k\) is a constant. The line \(L\) has equation \(y + x = 2k\) .

Given that \(C\) and \(L\) intersect, find the range of possible values of \(k\).

Sketch the graphs of \(C\) and \(L\) on a single diagram, stating the coordinates of any intersections with the axes.

2024 NYJC H1 Q3

2024 NYJC H1 Q3