Question

If $|a|\ne |b|,$ then the equation $az+b\overline{z}+c=0$ represents

• A. A circle
• B. An ellipse
• C. A straight line
• D. A point

Answer 1

The correct option is D A point

$az+b\overline{z}+c=a(x+iy)+b(x-iy)+c=0$
$ax+bx+c+iy(a-b)=0$
Since we have given $\left|a\right|\ne \left|b\right|$
Thus given equation is represents point.