Find the area!

Consider the curves $C_1 : |z - 2| = 2 + Re(z)$ and $C_2 : |z| = 3$ (where $x,y \in R$ and $i = \sqrt{-1}$ ). They intersect at $P$ and $Q$ in the first and fourth quadrants respectively. Tangents to $C_1$ at $P$ and $Q$ intersect the $x$ -axis at $R$ and tangents to $C_2$ at $P$ and $Q$ intersect the $x$ -axis at $S$ . If area of $\Delta PRS$ is $\lambda \sqrt 2$ sq.units, then find ( $\lambda^2$ ).