<p>The line \(L\) has equation \(y = x - 1\) and the curve \(C\) has equation \(y^2 + kx^2 + 3x = k\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the set of values of \(k\) if&nbsp;\(L\) and \(C\) do not intersect.</span><span class="inline-marks">[5]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Write down the possible value(s) of \(k\) if&nbsp;\(L\) is a tangent to \(C\).</span><span class="inline-marks">[1]</span></div></li></ol>

The line \(L\) has equation \(y = x - 1\) and the curve \(C\) has equation \(y^2 + kx^2 + 3x = k\).

Find the set of values of \(k\) if \(L\) and \(C\) do not intersect.

Write down the possible value(s) of \(k\) if \(L\) is a tangent to \(C\).

2024 RI H1 Q2

2024 RI H1 Q2