If $\left| {{z^2} - 1} \right| = {\left| z \right|^2} + 1$, then $z$ lies on

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\left| {{z^2} - 1} \right| = {\left| z \right|^2} + 1

, then

z

lies on

View answer and explanation

Correct option: B

The imaginary axis

Option B (The imaginary axis) is correct because the given condition implies that the argument of

z^2

\pi

, which means the argument of z is

\frac{\pi}{2}

, indicating that z lies on the imaginary axis.

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