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Q)

If $z$ is a complex number and $a$ is real, then $(z+a)(\overline z+a)=?$

(A) $|z+a|$

(B) $z^2+a^2$

(C) $|z+a|^2$

(D) $(z+a)^2$

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A)
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  • $z\overline z=|z|^2$
$(z+a)(\overline z+a)=(z+a)\overline {(z+a)}$
$=|z+a|^2$
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