Question

The equation $\overline{b}$z+$\overline{z}$b where b is a non-zero complex constant and c is real, represents

• A. A circle
• B. A straight line
• C. A parabola
• D. None of these

Answer 1

The correct option is B

A straight line

Equation $\overline{b}$z+$\overline{z}$b=c

Putting z=x+iy,b=$b_1$+i$b_2$

Where x,y,$b_1$,$b_2$ are real, then the given equation become

($b_1$-i$b_2$)(x+iy)+($b_1$+i$b_2$)(x-iy)=c

or 2$b_1$x+2$b_2$y=c

which is equation of a straight line.

Note:It is fundamental concept.