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

If arg((z-2)/(z+2))=(pi)/(4) then the locus of z is

Statement-1: If z_(1),z_(2) are affixes of two fixed points A and B in the Argand plane and P(z) is a variable point such that "arg" (z-z_(1))/(z-z_(2))=pi/2 , then the locus of z is a circle having z_(1) and z_(2) as the end-points of a diameter. Statement-2 : arg (z_(2)-z_(1))/(z_(1)-z) = angleAPB

Statement-1 : The locus of z , if arg((z-1)/(z+1)) = pi/2 is a circle. and Statement -2 : |(z-2)/(z+2)| = pi/2 , then the locus of z is a circle.

If arg((z-1)/(z+1))=(pi)/(4) show that the locus of z in the complex plane is a circle.

Let Arg((z+1)/(z-1))=pi/4 then locus of z be a circle whose radius and centre respectively are ?

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

If arg((z-3+4i)/(z+2-5i))=(5 pi)/(6), then locus of z represents .........

If z_(1) and z_(2) are two non-zero complex number such that |z_(1)z_(2)|=2 and arg(z_(1))-arg(z_(2))=(pi)/(2) ,then the value of 3iz_(1)z_(2)