JEE Main 2016 (15)

Algebra Level 4

All non zero complex numbers on the complex plane satisfying Im(z+1z)=0\text{Im}\left(z+\dfrac{1}{z}\right)=0 can lie on:

Notation:

Im(z)\text{Im}(z) represents imaginary part of zz.


This problem is part of the set JEE Main 2016.
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