Polynomials (IMO Mathematics Olympiad Class 10): Questions 56  61 of 80
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Question number: 56
» Polynomials
Question
If are two numbers such that . Then are the roots of the quadratic equation ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 57
» Polynomials
Question
The sum of the reciprocals of the roots of the equation is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 58
» Polynomials
Question
If the sum of the squares of zeroes of the polynomial is , find the value of k
Choices
Choice (4)  Response  

a.  3  
b.  4  
c.  4  
d.  3 
Question number: 59
» Polynomials
Question
If a and b are the roots of the quadratic equation with the condition , then the value of ‘q’ is ________
Choices
Choice (4)  Response  

a.  5  
b.  6 or 6  
c.  5 or 5  
d.  6 
Question number: 60
» Polynomials
Question
Quadratic polynomial having sum of its zeroes and product of its zeroes 3 is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 61
» Polynomials
Question
The roots of the quadratic equation are in the ratio , then k equals ________
Choices
Choice (4)  Response  

a.  1  
b.  12  
c.  3  
d.  13 