JEE Advanced 2018 Paper 2 Mathematics Q5

Mathematics

Problem

Let s, t, r be non-zero complex numbers and L be the set of solutions z = x + iy (x, y ∈ ℝ, i = √−1) of the equation sz + t

\bar{z}

+ r = 0, where

\bar{z}

= x − iy. Then, which of the following statement(s) is (are) TRUE?