Mathematics 4024 · O Level · Length and midpoint

Length and midpoint — practice question

$Q$ has coordinates $(n,-4)$, $R$ has coordinates $(-1,8)$ and $S$ has coordinates $(3,2)$.
(a)[3]

Given that the length $QR$ is $13$ units, find the two possible values of $n$.

(b)[2]

$RST$ lies on a straight line and $RS : RT = 2 : 5$. Find the coordinates of $T$.

(c)[5]

Find the equation for the perpendicular bisector of $RS$.

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