If z = x + iy represents z in the Argand's plane. Find the locus of P when. `|z + 1|^2 - |z - 1|^2 = 2`

If z = x + iy and p represents z in the Argand's plane. Find the locus of P when. z (bar z + 3) = 2

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: |z - 2 - 3i| = 5

If z = x + i y and P represents z in the Argands plane. Find the locus of P when: (z - i) / (z - 1) is purely imaginary.

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: |z + ai| = |z - ai|

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: |z + 4i| + |z - 4i| = 10

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: z (z + 2) = 3

If z = x + i y and P represents z in the Argands plane. Find the locus of P when: Re ((z - 4) / (z - 2i)) = 0.

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 + i y and . P represents z in the Argands plane. Find the locus of P when: The real part of (z + 1) / (z + i) is 1

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