Let z = x + iy be a non-zero complex number such that ${z^2} = i{\left| z \right|^2}$, where i = $\sqrt { - 1} $ , then z lies on the : - DASH

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Question

Let z = x + iy be a non-zero complex number such that ${z^2} = i{\left| z \right|^2}$, where i = $\sqrt { - 1} $ , then z lies on the :

line, y = –x

real axis

line, y = x

imaginary axis

Solution

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