IMO Mathematics Olympiad (SOF) Class 10: Questions 206  212 of 958
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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.  25 

c.  24 

d.  24 

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.  16 and 20 

b.  11 and 13 

c.  13 and 18 

d.  21 and 25 

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.  9 

c.  4 

d.  3 

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.  35 

b.  25 

c.  15 

d.  45 
