(a)[2]
Determine the value of $p$.
(b)[2]
Determine the coordinates of $C$.
(c)[5]
Determine the area of the triangle enclosed by the perpendicular bisector of $AB$ and the $x$- and $y$-axes.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
In parallelogram $ABCD$, $A$ has coordinates $(3, 7)$, $B$ has coordinates $(6, p)$, and $D$ has coordinates $(1, p)$. It is stated that the gradient of $AB$ is $-\frac{2}{3}$.