Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The circle is given by $(x - 3)^2 + y^2 = 18$. A line of the form $y = mx + c$ passes through $(0, -9)$ and is tangent to the circle.

(main)[8]

Determine the two possible values of $m$ and, for each one, determine the coordinates of the point where the tangent meets the circle.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Replaces $y=mx-9$ into the circle equation” …