If A={z:(1+2i)z¯+(1−2i)z+2=0} and B={z:(3+2i)z¯+(3−2i)z+3=0} then

Equations in sets A and B represent straightline with α¯1=1+2i and α¯2=3+2i Since α¯1α1≠α¯2α2 so thelines are intersecting, hence A∩ B is a singleton set.