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Complex Numbers question

2022 · 24 Jun · Shift 1 · Q22

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 24 Jun · Shift 1 · Q22

Complex Numbers question

2022 · 24 Jun · Shift 1 · Q22

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

A = \{ z \in C:1 \le |z - (1 + i)| \le 2\}

and

B = \{ z \in A:|z - (1 - i)| = 1\}

. Then, B :

A
is an empty set
B
contains exactly two elements
C
contains exactly three elements
D
is an infinite set

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