Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Point $A$ is at $(-1, 6)$, while point $B$ is at $(7, 2)$.
(i)[4]
Determine the equation of the perpendicular bisector of $AB$, and present your answer in the form $y = mx + c$.
(ii)[5]
A point $C$ on the perpendicular bisector has coordinates $(p, q)$. The distance $OC$ is 2 units, where $O$ is the origin. Write down two equations in $p$ and $q$ and therefore determine the possible coordinates of $C$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Midpoint $(3,4)$ found” …