Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

A curve has equation $y^2 + 2x = 13$, and a line has equation $2y + x = k$, with $k$ a constant.

(i)[4]

For $k = 8$, determine the coordinates of the points where the line meets the curve.

(ii)[3]

Determine the value of $k$ for which the line is tangent to the curve.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses elimination to produce a quadratic” …