Describe geometrically (or make a sketch of) the set of points z in the complex plane satisfying...

Question:

Describe geometrically (or make a sketch of) the set of points z in the complex plane satisfying the given equation or inequalities.

a) l z l= 2

b) l z-2i l is less than 3

Locus:

A complex number is a number that has a real part and an imaginary part. Every complex equation has a locus. |z|=a is a circle with the radius a and the center at the origin.

Answer and Explanation: 1

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{eq}|z|=a\\ {/eq}

is the equation of the circle with centre at the origin and radius as a.

{eq}|z|=2\\ {/eq}

is the circle of the radius 2 and...

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Modulus of a Complex Number | Concept, Formula & Examples

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Chapter 2 / Lesson 11
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Learn to define complex numbers and the concept of modulus. Learn the complex number formula and how to find the modulus of a complex number. See examples.


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