Mathematics 4024 · O Level · Length and midpoint

Length and midpoint — practice question

The midpoint of line $AB$ is $(1, 2)$, and the length of line $AB$ is $10$ units.

(a)[1]

Given that the gradient of $AB$ is $0$, determine the coordinates of $A$ and $B$.

(b)[2]

If the gradient of $AB$ is $\frac{3}{4}$, determine the coordinates of $A$ and $B$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A is $(-4,2)$ and B is $(6,2)$.” …