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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 : 40

Total: 66

What is z1+z2+z3 equal to ?

i
−i
0
1

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