sqrt(N)Arg((z-1)/(z+1))=(pi)/(4)

Number of points of intersections of the curves Arg((z-1)/(z-3))=(pi)/(4) and Arg(z-2)=(3 pi)/(4) is/are

Number of points of intersections of the curves Arg((z-1)/(z-3))=(pi)/(4) and Arg(z-2)=(3 pi)/(4) are

Number of points of intersections of the curves Arg((z-1)/(z-3))=(pi)/(4) and Arg(z-2)=(3 pi)/(4) are

If z=x+iy such that |z+1|=|z-1| and arg((z-1)/(z+1))=(pi)/(4) then

Let z be a complex number and i=sqrt(-1) then the number of common points which satisfy arg(z-1-i)=(pi)/(6) and arg((z-1-i)/(z+1-i))=(pi)/(2) is

If arg((z-1)/(z+1))=(pi)/(2) then the locus of z is