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 (\(\lambda^2\)).

×

Problem Loading...

Note Loading...

Set Loading...