Math, asked by GauravBorase, 11 months ago

Find the equation in Cartesian coordinates of the locus of z if. |z| = 10​

Answers

Answered by 23saurabhkumar
15

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,

|x+iy| = 10

As,

We know that,

|a + ib|=\sqrt{a^{2}+b^{2}}

So,

Using the same in the given equation as well we get,

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

So, on squaring both the sides we get,

x^{2}+y^{2}=10^{2}\\x^{2}+y^{2}=100

We know that the equation of the circle is given by,

x^{2} +y^{2}= r^{2}

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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