Answered: (a) Sketch the complex plane (i) the…

(a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w∗ − j2| = 2. Which number(s) are common to both solutions?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.3: The Complex Plane

Problem 4ECP

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Question

Problem 1.2 (Complex Conjugation) Consider a complex number w = x + jy, having real part
Re(w) = x and imaginary part Im(w) = y, with its complex conjugate defined as w^∗ = x − jy.

(a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w^∗ − j2| = 2. Which number(s) are common to both solutions?

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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