Complex Numbers and Quadratic EquationsFormation of Quadratic Equations With Given Roots (KVPY StreamSA Math): Questions 1  5 of 7
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Question number: 1
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2011
Question
If , then is,
Choices
Choice (4)  Response  

a.  a 3 + a 2 + 3 a  16  b  
b. 
 
c.  a 3  a 2 + 3 a  6  b  
d. 

Question number: 2
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2013
Question
Let x, y, z be nonzero real numbers such that and , then is equal to
Choices
Choice (4)  Response  

a.  153  
b.  154  
c.  152  
d.  155 
Question number: 3
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Question
Let p, q, r be nonzero real numbers such that and , then is equal to,
Choices
Choice (4)  Response  

a.  553  
b.  550  
c.  640  
d.  654 
Question number: 4
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2014
Question
Let and , where a and b are positive integers. Suppose and . If the coefficient of the highest degree term of k (x) is 1, the sum of the roots of is
Choices
Choice (4)  Response  

a.  6  
b.  5  
c.  4  
d.  7 
Question number: 5
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Question
If α, β are the roots of then that equation whose roots are is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 