(i)[5]
Find the coordinates of point $C$.
(ii)[2]
Find the distance between $A$ and $C$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Line $L_1$ goes through points $A\,(2,5)$ and $B\,(10,9)$. Line $L_2$ runs parallel to $L_1$ and passes through the origin. Point $C$ is on $L_2$ in such a way that $AC$ is perpendicular to $L_2$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly determines the gradient of the line joining $(2,5)$ and $(10,9)$ as $\frac12$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI