Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The coordinates of two points are $A(5, 7)$ and $B(9, -1)$.

(i)[3]

Determine the equation of the perpendicular bisector of $AB$.

(ii)[5]

The line through $C(1, 2)$ parallel to $AB$ intersects the perpendicular bisector of $AB$ at $X$. Find, by calculation, the length $BX$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “States the midpoint of $AB$ is $(7,3)$” …