Question

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

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

Answer 1

The correct option is C

Both are real numbers

Here z + $\overline{z}$ = (x+iy) + (x-iy) = 2x (Real)

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