IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 205  212 of 968
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Question number: 205
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: 206
Question
If are the zeroes of the quadratic polynomial such that , then the value of k is ________
Choices
Choice (4)  Response  

a.  25  
b.  24  
c.  24  
d.  25 
Question number: 207
» Pair of Linear Equations in Two Variables
Question
The solution of the system of equations and , is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 208
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 18 and the sum of their squares is 38. The numbers are ________
Choices
Choice (4)  Response  

a.  13 and 18  
b.  16 and 20  
c.  21 and 25  
d.  11 and 13 
Question number: 209
» Pair of Linear Equations in Two Variables
Question
The number of values of k for which the system of equations has atleast one solution is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 210
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations , has infinite number of solutions, is ________
Choices
Choice (4)  Response  

a.  10  
b.  3  
c.  9  
d.  4 
Question number: 211
Question
If are the roots of the cubic , the value of is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 212
» Pair of Linear Equations in Two Variables
Question
The value of k, for which the system of equations represent parallel lines is ________
Choices
Choice (4)  Response  

a.  25  
b.  45  
c.  15  
d.  35 