(i)[4]
Find the values of $k$ for which the line and curve intersect at two distinct points.
(ii)[3]
For each of two particular values of $k$, the line is a tangent to the curve. Show that these two tangents meet on the $x$-axis.
Mathematics 9709 · AS & A Level · Quadratics
Quadratics — practice question
A line is given by $y = 3kx - 2k$, and a curve is given by $y = x^2 - kx + 2$, where $k$ is a constant.