Find the equation in Cartesian coordinates of the locus of z if. |z| = 10
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Answer:
The locus of the equation is a circle with the radius 10.
Step-by-step explanation:
In the question,
We have been provided that,
|z| = 10
Also,
We know that, z = x + iy
So,
As,
We know that,
So,
Using the same in the given equation as well we get,
So, on squaring both the sides we get,
We know that the equation of the circle is given by,
where, r is the radius of the circle with the center at (0, 0).
So,
On comparing we get that,
The locus of the equation is a circle with the radius 10.
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