When z equals 1, which statement is true about its modulus?

Understanding Complex Numbers and Modulus

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Mathematics
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11th - 12th Grade
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Hard

Olivia Brooks
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The modulus is undefined
The modulus is 2
The modulus is 1
The modulus is 0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the imaginary part of z if z equals 1?
i
1
-1
0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you square the complex number 1 - i?
You get -2i
You get 0
You get 2
You get 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the conjugate in solving complex number problems?
It is only used in real numbers
It is irrelevant
It complicates the problem
It simplifies the problem
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the modulus of a complex number represent?
The distance from the origin
The imaginary part of the number
The angle of the number
The real part of the number
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is formed by the modulus condition in the problem?
Triangle
Annulus
Square
Circle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the square root of a complex number?
Add the real and imaginary parts
Divide by the modulus
Multiply by the conjugate
Set it equal to x + iy
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