(a)[3]
Prove that triangle $ABX$ is similar to triangle $COX$. For every statement you write, include a reason.
(b(i))[1]
Given $\overrightarrow{OA} = 3a$ and $\overrightarrow{OC} = 6c$ and $CB : BY = 1 : 2$, find, as simply as possible, $\overrightarrow{AB}$ in terms of $a$ and/or $c$.
(b(ii))[2]
Find, as simply as possible, $\overrightarrow{CY}$ in terms of $a$ and/or $c$.
(c(i))[2]
Find the ratio $OX : XB$ in simplest form.
(c(ii))[1]
Find the ratio area of triangle $COX$ : area of triangle $ABX$ in its simplest form.
(c(iii))[1]
Find the ratio area of triangle $AYB$ : area of trapezium $OABC$ in its simplest form.