Mathematics 4024 · O Level · Length and midpoint

Length and midpoint — practice question

$P$ has coordinates $(-3, 4)$, while $Q$ has coordinates $(5, 1)$.

(a)[1]

$M$ is the midpoint of $PQ$. Determine the coordinates of $M$.

(b)[1]

Determine the gradient of $PQ$.

(c)[2]

$R$ is the point $(-6, 0)$, and $O$ is the point $(0, 0)$. Decide which point, $R$ or $P$, is closer to $O$. Show your working.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The midpoint is $(1,\ 2\tfrac12)$.” …