IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 310  317 of 968
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Question number: 310
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 5 and 6. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 311
Question
If has equal roots, and then c is equal to________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 312
Question
The roots of the equation can be found by solving ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 313
Question
The equation has ________
Choices
Choice (4)  Response  

a.  No root  
b.  Two real roots  
c.  Infinitely many roots  
d.  One integral root 
Question number: 314
Question
If , then the value of x in terms of a and b is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 315
Question
Two numbers whose sum is 20 and absolute value of whose difference are 6 are the roots of the equation ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 316
Question
If , then the value of x in terms of a and b is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 317
Question
If one root of the equation is 1, and then the other root is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
