Find the equation in cartesian coordinates of the locus of z if |z| =

1.	Find the equation in cartesian coordinates of the locus of z if \|z\| = 10
Answer» Let z = x + iy \|z\| = 10 \|x + iy\| = 10 \(\sqrt{x^2+y^2}\) = 10 \(\therefore\) x² + y² = 100

Find the equation in cartesian coordinates of the locus of z if |z| = 10

Answer»

Let z = x + iy

|z| = 10

|x + iy| = 10

\(\sqrt{x^2+y^2}\) = 10

\(\therefore\) x² + y² = 100