JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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\left| {z - 2} \right| = \min \left\{ {\left| {z - 1} \right|,\;\left| {z - 5} \right|} \right\},\;\;

where

z

is a complex number, then

View answer and explanation

Correct option: C

{\mathop\mathrm{Re}\nolimits} \left( z \right) \in \left\{ {\frac{3}{2},\frac{7}{2}} \right\}

Option C is correct because the real part of z can be either 3/2 or 7/2, satisfying the given condition based on the minimum distance.

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