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z=x+iy represent a point in the Argand p...

`z=x+iy` represent a point in the Argand plane, find the locus of z. such that `|z|=2`

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`|z|=2, z=x+iy`
if `|z+iy|=2`
if `sqrt(x^(2)+y^(2))=2`
if and if `x^(2)+y^(2)=4`
The equation of `x^(2)+y^(2)=4` reprsents the circle with at the origing (0,0) and radius 2 units.
`:.` The locus of `|z|=2` is circle
`x^(2)+y^(2)=4`
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