Let S=\{z \in C:| z-3| \leq 1 and z(4+3 i)+\overline{z}(4-3 i) \leq 24\}. If \alpha+i \beta is the point in S which is closest to 4i, then 25(\alpha+\beta) is equal to____ [24-Jun-2022-Shift-2]

JEE Main 24 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let S={z∈C:|z−3|≤1 and z(4+3i)+z(4−3i)≤24}. If α+iβ is the point in S which is closest to 4i, then 25(α+β) is equal to____

[24-Jun-2022-Shift-2]

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