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A: The line and curve intersect only for one specific set of values of $c$. B: The line and curve intersect for every value of $c$. C: The line and curve never intersect for any values of $c$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The equation of a line is $y = 2cx + 3$ and the equation of a curve is $y = cx^2 + 3x - c$, with $c$ a constant. Showing all necessary working, determine which statement below is correct.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up a 3-term quadratic $cx^2+3x-c=2cx+3\Rightarrow x^2+(3-2c)x-(c+3)=0$” …
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