What is the locus of `z ,` if amplitude of `(z-2-3i)` is `pi/4?`

If z = x + iy and P represents z in the Argand's plane. Find the locus of P when. The amplitude of z - 2 - 3i is pi/4 .

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)

Trace the locus of z if arg(z+i)=(-pi)/(4)

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

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

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

If |z+2+3i|=5 then the locus of z is

Find the locus of z = x + iy if |z - 3i| = 4.

The locus of z such that arg [(1-2i) z-2+5i]=pi/4 is a