Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram depicts a section of the curve $y = \frac{2}{1-x}$ together with the line $y = 3x + 4$. These intersect at $A$ and $B$.

(i)[4]

Find the coordinates for $A$ and $B$.

(ii)[3]

Find the length of $AB$ and the coordinates of the mid-point of $AB$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Quadratic equation $3x^2 + x - 2 = 0$ formed” …