If $z\bar z = 0$, iff

${\mathop{\rm Re}\nolimits} (z) = 0$

${\mathop{\rm Im}\nolimits} (z) = 0$

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Understanding +4 | -1

z\bar z = 0

, iff

View answer and explanation

Correct option: C

(z) = 0

Option C (

(z) = 0

) is correct because

z\bar z = |z|^2 = 0

implies that the magnitude of z is 0, which means z itself is 0.

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