The number of elements in the set z = a + ib C: a, b Z and 1 < | z - 3 + 2i | < 4 is _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Morning shift · Q35

JEE Main 202228 Jun, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The number of elements in the set {z = a + ib

\in

C : a, b

\in

Z and 1 < | z

-

3 + 2i | < 4} is __________.

Your answerType your answer. Integers and decimals are accepted.