IMO Mathematics Olympiad Class 10: Questions 268  273 of 889
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Question number: 268
Question
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 4 and 5. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are
Choices
Choice (4)  Response  

a.  5, 4 

b. 


c. 


d. 


Question number: 269
Question
Two numbers whose sum is 10 and absolute value of whose difference is 4 are the roots of the equation ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 270
Question
For what value of ‘P’ the roots of P are equal
Choices
Choice (4)  Response  

a. 


b.  4, 1 

c.  6, 4 

d.  3, 8 

Question number: 271
Question
A convex polygon has 20 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  9 

b.  8 

c.  7 

d.  12 

Question number: 272
Question
Which of the statements given below is correct. If discriminant for equation is D________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 273
Question
The roots of are real and unreal, if is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

