JEE Main 2026 — 2 April, Evening Shift — Question 24

Let the circle $\mathrm{C}_{1}:\left|\mathrm{z}\right| = \mathrm{r}$ and $\mathrm{C}_{2}:\left|\mathrm{z} - 3 - 4\mathrm{i}\right| = 5$, $\mathrm{z}\in \mathbb{C}$, be such that $\mathrm{C}_{2}$ lies within $\mathrm{C}_{1}$. If $\mathrm{z}_{1}$ moves on $\mathrm{C}_{1}$, $\mathrm{z}_{2}$ moves on $\mathrm{C}_{2}$ and $\min \left|\mathrm{z}_{1} - \mathrm{z}_{2}\right| = 2$, then $\max \left|\mathrm{z}_{1} - \mathrm{z}_{2}\right|$ is equal to :-