MCQMediumJEE Main 2026 · 23 January, Shift 1Argand Plane & Geometry

Mathematics Question from JEE Main 2026 · 23 January, Shift 1

Let S={z:32z3(1+i)7}S = \{z : 3 \le |2z - 3(1+i)| \le 7\} be a set of complex numbers. Then minzSz+12(5+3i)\min_{z \in S} \left| z + \frac{1}{2}(5+3i) \right| is equal to :

  • A

    22

  • B

    32\frac{3}{2}

  • C

    12\frac{1}{2}

  • D

    52\frac{5}{2}

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