Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

The curve is defined by $y = kx^2 + 2x - k$, while the line is defined by $y = kx - 2$, where $k$ is a constant.

(main)[5]

Find the set of values of $k$ for which the curve and line have no points of intersection.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Remove $y$ and obtain a quadratic in $k$” …