If z=z, then - Vidyadip

MCQ

If $z=\bar{z}$, then

✓
z is purely real
B
z is purely imaginary
C
$\operatorname{Re}(z)=\operatorname{Im}(z)$
D
z is any complex number

✓

Answer

Correct option: A.

z is purely real

(A)
$z =\overline{ z }$
$\Rightarrow x+ i y=x- i y$
$\Rightarrow y=0$
$\Rightarrow z =x$
$\Rightarrow z$ is purely real.

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