If $a$ is a complex number and $b$ is a real number,then the equation $\bar{a}+a+b=0$ represents $a$ as a locus of points in the complex plane,which is a:

Let $A$ and $B$ represent $z_1$ and $z_2$ in the Argand plane and $z_1, z_2$ be the roots of the equation $Z^2+pZ+q=0$,where $p, q$ are complex numbers. If $O$ is the origin,$OA=OB$ and $\angle AOB=\alpha$,then $p^2=$

The complex number $\frac{1 + 2i}{1 - i}$ lies in which quadrant of the complex plane?

If $z=x+iy$ satisfies the condition $|z+1|=1$,then $z$ lies on the

Which of the following equations can represent a triangle in the complex plane?

The locus of the point $z$ satisfying the equation $|iz - 1| + |z - i| = 2$ is