Mathematics 0580 · IGCSE · Length and midpoint

Length and midpoint — practice question

$AB$ is a line whose midpoint is $M$. The point $A$ is $(2, 3)$ and the point $M$ is $(12, 7)$.
(a)[2]

Determine the coordinates of $B$.

(b)[4]

Show that the equation of the perpendicular bisector of $AB$ is $2y + 5x = 74$.

(c)[1]

Find the value of $n$.

(d)[2]

Find the area of the triangle.

Worked solution & mark scheme

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