If $z$ is a complex number such that $|z+4| \geq 3$,then the smallest value of $|z+3|$ is

If the imaginary part of $\frac{2 z+1}{i z+1}$ is $-2$,then the locus of the point representing $z$ in the complex plane is

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

If $z$ is a complex number such that $|z| \geq 1$,then the minimum value of $\left|z+\frac{1}{2}(3+4 i)\right|$ is:

Let the curve $z(1+i)+\bar{z}(1-i)=4, z \in \mathbb{C}$,divide the region $|z-3| \leq 1$ into two parts of areas $\alpha$ and $\beta$. Then $|\alpha-\beta|$ equals :