rue or False? In Exercises 51–54, determine whetherthe statement is true or false. Justify your answer.51. The modulus of a complex number can be real orimaginary.52. The distance between two points in the complex planeis always real.53. The modulus of the sum of two complex numbers isequal to the sum of their moduli.54. The modulus of the difference of two complex numbersis equal to the difference of their moduli

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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rue or False? In Exercises 51–54, determine whether
the statement is true or false. Justify your answer.
51. The modulus of a complex number can be real or
imaginary.
52. The distance between two points in the complex plane
is always real.
53. The modulus of the sum of two complex numbers is
equal to the sum of their moduli.
54. The modulus of the difference of two complex numbers
is equal to the difference of their moduli

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