If `arg(z-1)=arg(z+3i)`, then find `(x-1):y`, where `z=x+iy`.

If arg(z-1)=arg(z+2i), then find (x-1):y, where z=x+iy

arg(bar(z))=-arg(z)

If arg(z) lt 0, then find arg(-z) -arg(z) .

If arg (bar (z) _ (1)) = arg (z_ (2)) then

If z= x+iy satisfies the equation arg (z-2)="arg" (2z+3i) , then 3x-4y is equal to

If arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2 , then find the principal value of arg(z_(1)z_(2)) and also find the quardrant of z_(1)z_(2) .

If z=x+iy and arg((z-2)/(z+2))=(pi)/(6), then find the locus of z.