# Find the area!

Geometry Level 4

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 ($\lambda^2$).

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