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Home › AP EAMCET › Mathematics › Complex Numbers and Quadratic Equations › If z = −z̄ for a complex number z, which stateme…

If z = −z̄ for a complex number z, which statement is correct?

AReal and negative
BPurely imaginary or zero
COf modulus exactly one
DReal and positive
Answer & Solution
Correct answer: B. Purely imaginary or zero
a + ib = −a + ib forces a = 0, so z = ib is purely imaginary, or zero when b = 0.
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