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NDA Math Complex Numbers

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For. the next two (2) items that follow :
Let z1,z2 and z3 be non zero complex numbers satisfying z2=

−

iz

,where i=√−1

[NDA I 2016]

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Question : 41

Total: 66

Consider the following statements :
1. z1z2z3 is purely imaginary.
2. z1z2+z2z3+z3z1 is purely real
Which of the above statements is/are correct

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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