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Demonstrate that the line and the curve meet for every value of $k$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The equation of a line is $y = 3x - 2k$ and the equation of a curve is $y = x^2 - kx + 2$, with $k$ constant.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write $x^2-kx+2=3x-2k$ to form a quadratic, giving $x^2-x(k+3)+(2+2k)=0$.” …
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