S = {z in mathbb{C} : |z + 1 - i| = 1} repres | vedclass

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(A) The given set is $S = \{z \in \mathbb{C} : |z - (-1 + i)| = 1\}$.This is the standard form of a circle in the complex plane,$|z - z_0| = r$,where

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the circle with centre at $(-1, 1)$ and radius $1$ unit

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(A) The given set is $S = \{z \in \mathbb{C} : |z - (-1 + i)| = 1\}$.This is the standard form of a circle in the complex plane,$|z - z_0| = r$,where $z_0$ is the center and $r$ is the radius.Here,$z_0 = -1 + i$,which corresponds to the point $(-1, 1)$ in the Cartesian plane.The radius $r = 1$.Thus,it represents a circle with center at $(-1, 1)$ and radius $1$ unit.

$S = \{z \in \mathbb{C} : |z + 1 - i| = 1\}$ represents

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