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Number of complex numbers such that $| z | = 1$ and $| z = 1 - 2 z$ is

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Correct option is A

|z|=1⇒zz=1 Therefore z=1−2z ⇒ z=1−2z ⇒ z2−z+2=0⇒ z=1±7i2 but than, |z|≠1

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Number of complex numbers such that |z|=1 and |z=1−2z is

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Number of complex numbers such that $| z | = 1$ and $| z = 1 - 2 z$ is