(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

(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.

Class 11 Mathematics 4-1.Complex numbers Geometry of complex numbers

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

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A
the circle with centre at $(-1, 1)$ and radius $1$ unit
B
the circle with centre at $(1, -1)$ and radius $1$ unit
C
the closed circular disc with centre at $(1, -1)$ and radius $1$ unit
D
the closed circular disc with centre at $(-1, 1)$ and radius $1$ unit

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4-1.Complex numbers

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

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Let $O$ be the origin,the point $A$ be $z_1 = \sqrt{3} + 2\sqrt{2}i$,and the point $B(z_2)$ be such that $\sqrt{3}|z_2| = |z_1|$ and $\arg(z_2) = \arg(z_1) + \frac{\pi}{6}$. Then:

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