The area (in sq. units) of the region S = z ∈ C; |z − 1| ≤ 2; (z + z) + i(z − z) ≤ 2, Im(z) ≥ 0 is

JEE Main 2024 Mathematics question

The area (in sq. units) of the region S = {z ∈ C; |z − 1| ≤ 2; (z + ) + i(z − ) ≤ 2, Im(z) ≥ 0} is

Answer: (B)

The condition is x − y ≤ 1. The upper half of the disc |z − 1| ≤ 2 has area 2π, and the line

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-011377