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. Let ${z_{1,}}_{} z_{2}$ be two complex numbers such that $I m (z_{1} + z_{2}) = 0$ and $Im (z_{1} z_{2}) = 0$ then

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z1=−z¯2

z1=z2

z1=z¯2

None of these

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detailed solution

Correct option is D

. Take z1 and z2 as two real numbers.

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. Let z1, z2 be two complex numbers such that Im (z1+ z2) = 0 and Im⁡z1z2=0 then

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. Let ${z_{1,}}_{} z_{2}$ be two complex numbers such that $I m (z_{1} + z_{2}) = 0$ and $Im (z_{1} z_{2}) = 0$ then