Complex Numbers And Quadratic Equations question 44
Question: For the complex number $ z $ , one from $ z+\bar{z} $ and $ z\bar{z} $ is [RPET 1987]
Options:
A) A real number
B) A imaginary number
C) Both are real numbers
D) Both are imaginary numbers
Show Answer
Answer:
Correct Answer: C
Solution:
Here $ z+\overline{z}=(x+iy)+(x-iy)=2x $ (Real) and $ z\overline{z}=(x+iy)(x-iy)=x^{2}+y^{2} $ (Real).
BETA
