Let S = z C : z^ 2 + z̄ = 0 . Then _ z S (Re(z) + Im(z)) is equal to _____ .

JEE Main 2022 Mathematics question

Let S = {z C : + z̄ = 0}. Then is equal to .

Answer: 0

Let z = x + iy. Then + z̄ = , so and y(2x − 1) = 0. If y = 0, then gives x = 0 or −1. If x = 1/2,

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

Question ID VK-034445