JEE Main 2022 Mathematics question
The number of elements in the set {z = a + ib C : a, b Z and 1 < |z − 3 + 2i| < 4} is
Answer: 40
Solution
The points z lie between the circles of radii 1 and 4 centred at (3, −2). Counting the lattice points row by row: for y = −2 there are 4 points (5, −2), (6, −2), (1,
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