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

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

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

, then

{P}(z)

lies on

View answer and explanation

Correct option: C

The imaginary axis

Option C (The imaginary axis) is correct because by substituting z = x + iy into the given equation and simplifying, we find that x = 0, which means the point P(z) lies on the imaginary axis.

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