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-2-3i " is " (pi)/(4) , then find the locus of z= x+ yi

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

If the amplitude of z-2-3 i is (pi)/(4) , then the locus of z=x+i y is

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

If the amplitude of (z-2 -3i) is pi/4, then the locus of z=x +iy 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 z= x+iy and the amplitude of (z-2-3i) is (pi)/(4) . Find the relation between x and y.

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