Let z₁, z₂ and z₃ be non-zero complex numbers satisfying z² = i z̅, where i = √−1.
Consider the following statements:
1. z₁z₂z₃ is purely imaginary.
2. z₁z₂ + z₂z₃ + z₃z₁ is purely real.
Which of the above statements is/are correct?
Mathematics
2016
NDA Mathematics 2016
NDA 2016
Options
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