Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

At the point $P$, the curve $4y = x^2$ has the line $y = \frac{x}{k} + k$ as a tangent, where $k$ is constant.
(i)[3]

Find the value of $k$ from the given information.

(ii)[3]

Find the coordinates of $P$ using the information given.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Eliminates $x$ or $y$ to obtain a quadratic equation” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI