Max Distance Between Complex Sets (Jee Mains)

Geometry and Locus of Complex Numbers

Medium

Max Distance Between Complex Sets

Let A = $\left\{ {z \in {\Bbb C}:\left| {z - 2} \right| \leqslant 4} \right\}$ and B = $\left\{ {z \in {\Bbb C}:\left| {z - 2} \right| + \left| {z + 2} \right| = 5} \right\}$ . Then the max $\left\{ {\left| {{z_1} - {z_2}} \right|:{z_1} \in A\,and\,{z_2} \in B} \right\}$ is

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