Mathematics 0580 · IGCSE · Perpendicular lines

Perpendicular lines — practice question

The line $l$ connects point $F(3, 2)$ with point $G(-5, 4)$.

(a)[3]

Calculate how long line $l$ is.

(b)[5]

Find the equation, in the form $y = mx + c$, of the perpendicular bisector of line $l$.

(c)[4]

Find the coordinates of the two possible locations of $H$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The result is $\sqrt{(3+5)^2+(2-4)^2}=8.25$.” …