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Determine the set of values of $k$ for which the line and curve intersect in two distinct points.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
A line is given by the equation $y = 3x + k$ and a curve is given by the equation $y = x^2 + kx + 6$, with $k$ a constant.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Remove $y$ to obtain the quadratic $x^2 + x(k-3) + (6-k) = 0$” …
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