Question

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Answer 1

Answer:

Step-by-step explanation:

LET

z = x + iy

|z| = 1

$\bold{\sqrt{x^2+y^2}}=1\\\\\bold{x^2+y^2 = 1}$

The locus is a unit circle with centre at origin

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Answer 2

Step-by-step explanation:

LET

z = x + iy

|z| = 1

$\begin{lgathered}\bold{\sqrt{x^2+y^2}}=1\\\\\bold{x^2+y^2 = 1}\end{lgathered}$

The locus is a unit circle with centre at origin.