Mathematics · 2026
JEE Main · 23 January 2026, Shift 1 · Q4
Let S={z: 3 ≤|2 z-3(1+i)| ≤ 7} be a set of complex numbers. Then min_z ∈ S|(z+1/2(5+3 i))| is equal to:
Let $\displaystyle S=\{z: 3 \leqslant|2 z-3(1+i)| \leqslant 7\}$ be a set of complex numbers. Then $\displaystyle \min _{z \in S}\left|\left(z+\frac{1}{2}(5+3 i)\right)\right|$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{3}{2}$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.