Pair of Linear Equations in Two Variables (IMO Mathematics Olympiad Class 10): Questions 63  68 of 82
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Question number: 63
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 9 and the sum of their squares is 41. The numbers are ________
Choices
Choice (4)  Response  

a.  1 and 8 

b.  3 and 6 

c.  4 and 5 

d.  2 and 7 

Question number: 64
» 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: 65
» 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.  16 and 20 

b.  11 and 13 

c.  13 and 18 

d.  21 and 25 

Question number: 66
» 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: 67
» 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.  9 

c.  4 

d.  3 

Question number: 68
» 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.  35 

b.  25 

c.  15 

d.  45 
