The equation $z \bar{z}+(1-4 i) z+(1+4 i) \bar{z}+1=0$ represents a circle of radius

Question

Professor PC Thomas Classes · Answer

$z\bar{z} + \bar{a}z + a\bar{z} + b = 0$. Center $a = -(1+4i)$. Radius $r = \sqrt{|a|^2 - b} = \sqrt{17 - 1} = 4$.