JEE Advanced 2019 Paper 1 Mathematics Q1

Mathematics

Problem

Let S be the set of all complex numbers z satisfying |z − 2 + i| ≥ √5. If the complex number z₀ is such that 1/|z₀ − 1| is the maximum of the set {1/|z − 1| : z ∈ S}, then the principal argument of (4 − z₀ − zˉ0\bar{z}_{0})/(z₀ − zˉ0\bar{z}_{0} + 2i) is

Browse the problem library