(a)[4]
With $k = 2$ and $p = 11$, determine the coordinates of the intersection points of the curve and the line.
(b)[5]
With $p = 4$ instead, determine the set of values of $k$ for which the curve and the line do not intersect.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The curve is described by $2x^2 - kxy + 2 = 0$ and the line by $y = px + 3$, with $k$ and $p$ as constants.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Insert $k=2$, $p=11$ and eliminate a variable to obtain a quadratic.” …
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