Let 
denote the complex conjugate of a complex number 
. If 
is a non-zero complex number for which both real and imaginary parts of 
are integer; then which of the following is/are possible value(s) of 
? [2022 Adv.]
Text Solution
Verified by ExpertsA
On comparing,
........(i)
and 
.........(ii)
On squaring and adding Eqs. (i) and (ii), we get
For option , 
Only possible, if 
or 
Option is correct.
For option ,
Sum of two integers cannot be 
, so wrong option.
For option ,
Sum of two integers cannot be 
, so wrong option.
For option ,
Sum of two integers cannot be 
, so wrong option.
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