The number of solutions of the system of equations ${\rm{Re\;}}\left( {{z^2}} \right) = 0;\left| {\rm{z}} \right| = 2$ is

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The number of solutions of the system of equations

\mathrm{Re\;}\left( {{z^2}} \right) = 0;\left| \mathrm{z} \right| = 2

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Correct option: A

Option A (4) is correct because solving the system of equations Re(z²) = 0 and |z| = 2 yields four distinct solutions.

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