The origin is $O$ at $(0,0)$, $A$ has coordinates $(8,1)$ and $B$ has coordinates $(2,5)$.
(a(i))[1]
Write $\vec{OB}$ in column-vector form.
(a(ii))[1]
Write $\vec{AB}$ in column-vector form.
(b)[3]
Find the equation of the line through $A$ and $B$. Give your answer in the form $y = mx + c$.
(c)[4]
Find the equation for the perpendicular bisector of $AB$. Give your answer in the form $y = mx + c$.
(d)[2]
Find the distance $PQ$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\begin{pmatrix}2\\[2pt]5\end{pmatrix}$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI