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Consider the curves C(1):|z-2|=2+Re(z) a...

Consider the curves `C_(1):|z-2|=2+Re(z)` and `C_(2):|z|=3` (where `z=x+iy,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 the area of `Delta QRS` is `lambda sqrt(2)` ,then find the value of `(lambda)/(2)`

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