Argand diagram: The point represents the complex number where Itiy- Giren that: √2 = Ai(√8), where Teal parameter. Find the Cartesian equation of the locus of P as it varies. If also 0(4+3i), where real; prove that there is only one possible position for P.
Let be real numbers and be complex numbers such that I+iy = u+iv. In each case, describe the locus of the point (u, v) in the Argand diagram.
1. |z| = 2
2. |z| = √3
3. arg(z) = π/3
4. |z+4| = 5
5. v = 4u