If the amplitude of `((z-2)/(z-6))` is `(pi)/(3)`, find its locus.

If the amplitude of ((z-2)/(z-6i))=(pi)/(2) find its locus.

If the amplitude of (z-1)"is" (pi)/(2) , then find the locus of z.

If the amplitude of (z-1-2i) "is" pi/3 , then the locus of z is

The point P represnets a complex number z in the Argand plane. If the amplitude of z is (pi)/(4) , determine the locus of P.

If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x +iy is

If the real part of (z+1)/(z+i) is 1, then find the locus of z.

If z = x +iy and if the point P in the argand plane represents z then find the locus of P satisfying the equation Amplitude ((z-2)/(z - 6i)) = (pi)/(2)

If z_(1) = 8 + 4i , z_(2) = 6 + 4i and z be a complex number such that Arg ((z - z_(1))/(z - z_(2))) = (pi)/(4) , then the locus of z is

Show that the locus of z = x + iy such that the amplitude of (z -1)/(z+1) is equal to pi/4 . prove that x^2 + y^2 - 2y -1 =0