Complex Numbers And Quadratic Equations question 47
Question: $ (z+a)(\bar{z}+a) $ , where $ a $ is real, is equivalent to
Options:
A) $ |z-a| $
B) $ z^{2}+a^{2} $
C) $ |z+a{{|}^{2}} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
As we know if a is real, then $ a=\overline{a} $ \ $ (z+a)(\overline{z}+a)=(z+a)(\overline{z}+\overline{a})=(z+a)(\overline{z+a}) $ $ =|z+a{{|}^{2}} $