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Question
For the complex number z, which of the following is true?
Options:
A .  z+¯z is real and z¯z is imaginary
B .  z+¯z is imaginary and  z¯z is real
C .  Both z+¯z and z¯z are real.
D .  Both z+¯z and z¯z are imaginary numbers
Answer: Option C
:
C
Let z=x+iy
Here, z+¯z=(x+iy)+(xiy)=2x (Real)
And z¯z=(x+iy)(xiy)=x2+y2 (Real).

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