# The value of

Question:

The value of $(z+3)(\bar{z}+3)$ is equivalent to

(a) $|z+3|^{2}$

(b) $|z-3|$

(c) $z^{2}+3$

(d) none of these

Solution:

Since $|z+3|^{2}$

$=(z+3)(\overline{z+3})$

$=(z+3)(\bar{z}+3)$      $(\because \overline{3}=3$ real $)$

$=(z+3)(\bar{z}+3)$

Hence, the correct answer is option A.