Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (11) · Pure Mathematics 1 - Question 11

The equation of a curve is $2x^2 - kxy + 2 = 0$ and the equation of a line is $y = px + 3$, where $k$ and $p$ are constants.

**(b)** Given instead that $p = 4$, find the set of values of $k$ for which the curve and the line do not intersect.