Let point in S which then equal |ComplexNumberJEEMain2022

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JEE MAIN 2022

24-06-2022 S2

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Let $S=\{z \in \mathbb{C}:|z-3| \leq$ and $z(4+3 i)+\bar{z}(4-3 i) \leq 24\}$. if $\alpha+\mathrm{i} \beta$ is the point in S which is closest to 4i, then $25(\alpha+\beta)$ is equal to _____.

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