JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

Let

z

be a complex number (not lying on

x

-axis) of maximum modulus such

\left| {z + \frac{1}{z}} \right| = 1.

Then,

View answer and explanation

Correct option: B

\mathrm{Re\;}\left( z \right) = 0

Option D (None of these) is correct because the complex number z has a non-zero imaginary part and Re(z) = 0, which is purely imaginary.

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