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

Find the point of intersection of the curves arg(z-3i)=(3 pi)/(4) and arg (2z+1-2i)=pi/4

The number of points of intersection of the curves represented by arg(z-2-7i)=cot^(-1)(2) and arg ((z-5i)/(z+2-i))=pm pi/2

The number of values of z satisfying both theequations Arg(z-1-i)=-(3 pi)/(4) and Arg(z-2-2i)=(pi)/(4) is

if arg(z+a)=(pi)/(6) and arg(z-a)=(2 pi)/(3) then

Let A(z_(1)) be the point of intersection of curves arg(z-2+i)=(3 pi)/(4)) and arg(z+i sqrt(3))=(pi)/(3),B(z_(2)) be the point on the curve ar g(z+i sqrt(3))=(pi)/(3) such that |z_(2)-5|=3 is minimum and C(z_(2)) be the centre of circle |z-5|=3. The area of triangle ABC is equal to

Number of z, which satisfy Arg(z-3-2i)=(pi)/(6) and Arg(z-3-4i)=(2 pi)/(3) is/are :

Find the complex number z if arg (z+1)=(pi)/(6) and arg(z-1)=(2 pi)/(3)

Find the locus of z if arg ((z-1)/(z+1))= pi/4