Complex NumbersHard
Question
If |z1 + z2|2 = |z1|2 + |zz|2 then
Options
A.
is purely real
is purely realB. is purely imaginary
is purely imaginaryC.
= 0
= 0D.amp 
may be equal to 
may be equal to Solution
|z1 + z2|2 = |z1|2 + |z2|2
⇒
⇒ 
is purely imaginary
so amp
is may be 
or - 
⇒
⇒ is purely imaginaryso amp
is may be or - Create a free account to view solution
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