(a)[2]
Calculate the distance between $Q$ and $R$.
(b)[2]
Calculate the cosine of $\angle SQR$.
(c(i))[2]
Point $P(x,y)$ is such that $PQ = PR$. Show that $x + 2y = 13$.
(c(ii))[1]
$P$ is on $y = 7$. Find the coordinates of $P$.
Mathematics 4024 · O Level · Length and midpoint
Length and midpoint — practice question
Q has coordinates $(-1,2)$, R has coordinates $(3,10)$, and S has coordinates $(-4,2)$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applying the distance formula gives $\sqrt{(-1-3)^2+(2-10)^2}$” …
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