Question

For the complex number z, one from $z + \bar{z}$ and $z\bar{z}$ is

• A. A real number
• B. An imaginary number
• C. Both are real numbers
• D. Both are imaginary numbers

Answer 1

Answer: (C)

Both are real numbers

Answer 2

Sol. Here $z + \bar{z} = (x + iy) + (x - iy) = 2x$ (Real) and

$z\bar{z} = (x + iy)(x - iy) = x^{2} + y^{2}$ (Real).