IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 175  181 of 968
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Question number: 175
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations has a unique solution, is ________
Choices
Choice (4)  Response  

a.  = 2 

b. 


c.  = 1 

d. 


Question number: 176
» Pair of Linear Equations in Two Variables
Question
The sum of two numbers is 20 and the sum of their squares is 40. The numbers are ________
Choices
Choice (4)  Response  

a.  14 and 25 

b.  12 and 15 

c.  12 and 17 

d.  13 and 16 

Question number: 177
Question
If one of the zero of the quadratic polynomial is then value of k is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 178
Question
A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, 7, 14 respectively, is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 179
Question
If are the zeroes of the polynomial , then a polynomial having as its zeroes is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 180
» Pair of Linear Equations in Two Variables
Question
Solve for x and y in the following question:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 181
Question
If are the roots of the equation , then what is the quadratic equation whose roots are
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

