Mathematics 4024 · O Level · Length and midpoint

Length and midpoint — practice question

$AB$ refers to the line segment connecting $A(-2,5)$ with $B(1,3)$.
(a)[1]

Given that $B$ is the midpoint of the line segment $AC$, determine the coordinates of $C$.

(b)[2]

The length $AB$ is $\sqrt{t}$. Determine the value of $t$.

(c)[4]

Find the equation of the line that is perpendicular to $AB$ and passes through $A$. Give your answer in the form $y = mx + c$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Therefore, $C=(4,1)$.

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