Question

(z+a)($\overline{z}$+a) , where a is real, is equivalent to

• A. |z-a|
• B.
• C.
• D. None of these

Answer 1

The correct option is C

As we know if a is real, then a = $\overline{a}$

∴ (z+a)($\overline{z}+a)=(z+a\left)\right(\overline{z}+\overline{a})=(z+a)\overline{(z+a)}=|z+a{|}^2$