JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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\left| z \right| = \max \left\{ {\left| {z - 2} \right|,\;\left| {z + 2} \right|} \right\},\;

then

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Correct option: C

\left| {z + \bar z} \right| = 2

Option C (

\left| {z + \bar z} \right| = 2

) is correct because the given condition implies that the real part of z is either 1 or -1, hence the magnitude of

z + \bar z

is 2.

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