Let P(Z), $\mathrm{Z}\mathrm{\hspace{0.17em}\hspace{0.17em}}\in \mathrm{\hspace{0.17em}\hspace{0.17em}}\mathrm{ℂ}$ is a point in complex plane which satisfies relation $\text{|z+}\overline{\mathrm{z}}|\mathrm{\hspace{0.17em}}+\mathrm{\hspace{0.17em}}4\mathrm{\hspace{0.17em}}|\mathrm{z}-\overline{\mathrm{z}}|\mathrm{\hspace{0.17em}}=34$ and A₁ is area of region bounded by locus of P(Z).
A₂ is area bounded by the polygon formed by joining those points of locus of P(Z) for which $\left|\mathrm{Z}\right|$ is minimum