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The number of solutions of $z^{2} + | z | = 0$ is

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Correct option is C

z2=|−|z||⇒|z|2=|z|⇒|z|=0 or |z|=1 If |z|=0, we get z=0. If |z|=1 we get z2=−1⇒z=±i

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The number of solutions of z2+|z|=0 is

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The number of solutions of $z^{2} + | z | = 0$ is