(i)[3]
Find the area, in terms of $t$, of triangle $AOB$.
(ii)[4]
Show that the midpoint of $PC$ is on the line $y = x$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The straight line with gradient $-2$ that passes through $P(3t, 2t)$ cuts the $x$-axis at $A$ and the $y$-axis at $B$. The line through $P$ that is perpendicular to $AB$ meets the $x$-axis at $C$.