Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

At point $P$, the straight line $y = mx + 14$ touches the curve $y = \frac{12}{x} + 2$.
(main)[5]

Determine the constant $m$ and the coordinates of $P$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rewrites the equation as a quadratic in $x$ or $y$” …

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