Quadratic Equations (IMO Mathematics Olympiad (SOF) Class 10): Questions 21  28 of 80
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Question number: 21
» Quadratic Equations
Question
If one roots of is 3 times the other; the value of p is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
» Quadratic Equations
Question
A convex polygon has 77 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  11 

b.  14 

c.  8 

d.  3 

Question number: 23
» Quadratic Equations
Question
The square of a number is decreased by 24. This value is twice the original number. Then the number is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 24
» Quadratic Equations
Question
In the equation, the sum of the roots is 3 and the product of the roots is 25. Then h and k respectively, have the values ________
Choices
Choice (4)  Response  

a.  9 and 5 

b.  9 and 5 

c.  9 and 5 

d.  9 and 5 

Question number: 25
» Quadratic Equations
Question
If one roots of is twice the other root, and then the value of ‘b’ is ________
Choices
Choice (4)  Response  

a.  3 

b.  9 

c. 


d.  9 

Question number: 26
» Quadratic Equations
Question
Solve the equation by using quadratic formula, then x is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 27
» Quadratic Equations
Question
A convex polygon has 90 diagonals. The number of its sides is ________
Choices
Choice (4)  Response  

a.  19 

b.  15 

c.  14 

d.  10 

Question number: 28
» Quadratic Equations
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. 

