IMO Mathematics Olympiad (SOF) Class 10: Questions 227  233 of 958
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Question number: 227
» 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.  3 

b.  2 

c.  1 

d.  4 

Question number: 228
» Pair of Linear Equations in Two Variables
Question
Places and are 250 km apart from each other on a national highway. A car starts from and another from at the same time. If they go in the same direction then they meet in 5 hours and if they go in opposite directions they meet in hours. The speeds of the cars are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 229
Question
The sum of the reciprocals of the roots of the equation is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 230
Question
If 1 is one of the zeroes of polynomials, and then the value of k is ________
Choices
Choice (4)  Response  

a.  4 

b.  0 

c.  2 

d.  2 

Question number: 231
» 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: 232
Question
The roots of the quadratic equation are in the ratio, then k equals ________
Choices
Choice (4)  Response  

a.  10 

b.  11 

c.  14 

d.  13 

Question number: 233
Question
If are the zeroes of the quadratic polynomial , then the value of is ________
Choices
Choice (4)  Response  

a.  260 

b.  238 

c.  250 

d.  228 
