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Prove that the curve with equation $x^2 - 3xy - 40 = 0$ and the line with equation $3x + y + k = 0$ intersect for every value of the constant $k$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $y$ (or $x$) into the first equation, then simplify” …
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