AlgebraComplex Numbers (NDA (National Defense Academy) Mathematics): Questions 1  10 of 12
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Question number: 1
» Algebra » Complex Numbers » Cube Roots of Unity
Appeared in Year: 2016
Question
What is equal to, where is the cube root of unity?
Choices
Choice (4)  Response  

a.  3ω  
b. 
 
c.  0  
d.  1 
Question number: 2
» Algebra » Complex Numbers » Cube Roots of Unity
Question
What is equal to, where is the cube root of unity?
Choices
Choice (4)  Response  

a. 
 
b.  3ω  
c.  1  
d.  0 
Question number: 3
» Algebra » Complex Numbers » Modulus
Appeared in Year: 2012
Question
If Where, , then what is the value of ?
Choices
Choice (4)  Response  

a. 
 
b.  4  
c.  8  
d.  0 
Question number: 4
» Algebra » Complex Numbers » Modulus
Question
If , then what is the imaginary part of equal to?
Choices
Choice (4)  Response  

a.  1  
b.  0  
c. 
 
d. 

Question number: 5
» Algebra » Complex Numbers » Basic Properties
Appeared in Year: 2016
Question
If is a complex number, then which one of the following is correct?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 6
» Algebra » Complex Numbers » Modulus
Appeared in Year: 1960
Question
If Where, , then what is the value of ?
Choices
Choice (4)  Response  

a. 
 
b.  0  
c.  1  
d. 

Question number: 7
» Algebra » Complex Numbers » Modulus
Question
If where, , then what is the value of ?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 8
» Algebra » Complex Numbers » Cube Roots of Unity
Question
What is equal to, where is the cube root of unity?
Choices
Choice (4)  Response  

a.  1  
b.  0  
c. 
 
d.  3ω 
Question number: 9
» Algebra » Complex Numbers » Modulus
Appeared in Year: 2016
Question
If , then what is the imaginary part of equal to?
Choices
Choice (4)  Response  

a. 
 
b.  1  
c. 
 
d.  0 
Question number: 10
» Algebra » Complex Numbers » Argument
Appeared in Year: 2012
Question
If then which one the following is correct?
Choices
Choice (4)  Response  

a.  The real part of is zero.  
b.  The sum of real and imaginary parts of is  
c.  The real part of is equal to imaginary part of  
d.  The Imaginary part of is zero. 