(a) Every real number is a complex number (b) Every pure imaginary number is a complex number (c)A number can be both real and complex (d) There is no real number that is a complex number (e) A complex number might not be a pure imaginary number

Q: imaginary part of the complex number 2

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Q: Plot the complex numbers 4- i and - 6+4i in the complex plane. Imaginary Axis 8- 3- 1- Real Axis -8…

A: Let the  given complex numbers be Z1 and Z2.Find the real and imaginary  parts of both the complex…

Q: The graph below shows a (nonzero) complex number z on the complex plane. If the constant k…

A: To determine the points that represent the product kz where k is a real number and z is a non-zero…

Q: N=-7+1li %3D

A: Given complex number Z=-7+11i

Q: 17- 1. Express the result as a simplified complex number in standard form: 1-3i 2. Solve over the…

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Q: How is the product of a complex number and a real number represented on the complex plane? Consider…

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Q: How is multiplying -8 – 3i by i3 represented on the complex plane? Drag a term or measure into each…

A: this is a complex number problem we will solve by making a graph.

Q: 3) Find the solution in the field of the complex numbers to the linear equation. Put your solution…

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Q: Represent the complex number geometrically.(-3i)(2 - i)

A: -3i2-i=-3i2-3i-i=-6i+3i2=-6i+3-1=-3-6i

Q: Two complex numbers are represented by c + di and , where c, d, e, and f are positive real numbers.…

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Q: What is the imaginary component of the complex number (7 - 2i)

A: z= 7- 2i

Q: Plot the complex number and find its absolute value. AImaginary - 5+ 12 i Q ..... Plot the complex…

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Q: What actually are complex numbers and where do they originate from? I am well versed with the…

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Q: Determine whether the statement is true or false. Justify your answer. a. The modulus of a…

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Q: What is the cartesian form of the complex number: (-1-i√3)-4

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Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate…

Q: AImaginary Plot the complex number. Then write the complex number in polar form. Express the…

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Q: Plot the complex numbers –4+i and 6–Ni in the complex plane. Imaginary Axis 8- 6-+ 5- Real Axis -8…

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Q: Plot the complex numbers 8-6i and -5- i in the complex plane. Imaginary Axis 田 7- 4 2- Real Axis -8…

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Q: Determine the absolute value of the complex number z = 3 + 4i

A: Given: z=3+4i

Q: :The sum and product of two complex numbers are real if and only if they are conjugate of each…

A: Solve by complex no.

Q: Plot the complex numbers 2i and -5+3i in the complex plane. Imaginary Axis 7- 6- 5- ? 4 3- 2- 1-…

A: We will plot the points.

Q: Yes or No? If No, give a reason. Is every real number also a complex number?

A: Let a and b be real numbers. Then any number is called a complex number if it is of the form a+ib.…

Q: What is a complex number? Give an example of a complex number, and identify the real and imaginary…

A: A complex number z can be written in the form z = a + ib, where a, b are real and i = sqrt (-1).…

Q: Are all real numbers also complex numbers?  Are all complex numbers also real numbers

A: Complex Number is just two numbers added together(a Real and an Imaginary Number). So, a Complex…

Q: Briefly describe De Moivre's theorem and also describe a complex number

A: De Moivre's theorem:- It is defined as that cos θ+isin θn=cos nθ+isin nθ where  i=-1 And this is use…

Q: Plot the complex numbers –2+i and 8 –3i in the complex plane. Imaginary Axis 8. 6- 4. 3. 2. Real…

A: see below the answer

Q: Is the sum of a complex number and its complex conjugate a real number?

A: Consider the given statement as "Is the sum of a complex number and its complex conjugate a real…

Q: 6. Conjugate of the complex number is the reflection in the real axis of the complex number True…

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Q: Express in the form of a complex number a + b i.i / (1 -i)

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Q: 17-18 - Graphing a Complex Number and Its Complex Conjugate Sketch the complex number z and its…

A: a)  z=8+2i b)  z=-5+6i

Q: Two complex numbers are represented by c + di and e- fi , where c, d, e, and fare positive real…

A: Given, The two complex numbers  c+di e-fi Where c, d, e and f are positive real numbers. We have…

Q: 1-181 Q2- The complex number z satisfies the equation 42 - 37 2-4 Then

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Q: Plot the complex numbers 8-7i and -4-i in the complex plane. Imaginary Axis 8- 7- 6+ 5+ 4. 3- 2- 1-…

A: Given,  complex numbers 8-7i and -4-7i. We need to plot them in the complex plane.

Q: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

A: Find the polar form and exponential form of a complex number

Q: A complex number has : A real part and a complex part B real part and imaginary part C Imaginary…

A: All complex numbers can be written in the form a+ib where a : real part of the complex number b :…

Q: Plot the complex numbers -6+i and 1 in the complex plane. `Imaginary Axis 6+ 3+ 1- Real Axis $ -7 -6…

A: We are going to draw

Q: Match the complex number with its representation in the complex plane. -3 +i Imaginary Imaginary…

A: The complex number a + ib represents points in a two-dimension plane taken as the different axis.…

Q: Two complex numbers are equal if and only if their ______ parts are equal andtheir ________ parts…

A: Determine the complete statement: Two complex numbers are equal if and only if their ______ parts…

Q: A complex number is graphed as a point on the complex plane below. 2- 1 Real -3 -2 -1 -10 (0, -1)…

A: To determine: The complex number is graphed as a point in the complex plane. Given information: The…

Q: 112. Give an example of two complex numbers that are not real numbers, but whose product is a real…

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Q: Plot the complex numbers 3-i and -8+7i in the complex plane. Imaginary Axis 8- 7- 6- 3- 2- Real Axis…

A: We have to draw

Q: How is the product of a complex number and a real number represented on the coordinate plane? When 6…

A: This is a problem of complex analysis.

Q: Find the difference of the complex numbers in the complex plane. (3 + 21) – (5 + 3/)

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Q: Plot the complex numbers -2+i and 7-3i in the complex plane. Imaginary Avis 8. 7- 4 3-+ 2- 1- Real…

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Q: The sum and product of two complex numbers are real if and only if they are conjugate of each other

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Q: 1. What is complex number & conjugate complex number? Prove that the sum and product of two complex…

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Q: Plot the complex numbers -6+i and 1 in the complex plane. Imaginary Axis 5- 3+ Real Axis $ -7 6 -5 4…

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Q: Yes or No? If No, give a reason. Is the sum of a complex number and its complex conjugate a real…

A: Consider the provided information, Is the sum of a complex number and its complex conjugate a real…

Q: How is the product of a complex number and a real number represented on the complex plane? Consider…

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