Let z∈C be such that $$Re(z2)$$ $$=$$ $$0$$, then

Correct option is 2|Re⁡(z)|=|Im⁡(z)|

Questions

Let $z \in C$ be such that $R e (z^{2}) = 0$ , then

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|Re⁡(z)|+Im⁡(z)=0

|Re⁡(z)|=|Im⁡(z)|

Re⁡(z)+|Im⁡(z)|=0

Re⁡(z)=0 or Im⁡(z)=0

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detailed solution

Correct option is B

Let z=x+iy, then z2=x2−y2+2ixy∴Re⁡z2=0⇒x2−y2=0⇒|Re⁡(z)|=|Im⁡(z)|

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Let z∈C be such that Re(z2) = 0, then

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Let $z \in C$ be such that $R e (z^{2}) = 0$ , then