IMO Level 1 Mathematics Olympiad (SOF) Class 11: Questions 12  17 of 17
Access detailed explanations (illustrated with images and videos) to 17 questions. Access all new questions we will add tracking exampattern and syllabus changes. Unlimited Access for Unlimited Time! View Sample Explanation or View Features.
Rs. 100.00 or
How to register?
Question number: 12
» Sets, Relations and Functions
Question
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these number are the roots of the equation.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 13
» Sets, Relations and Functions
Question
Number greater than 1000 but not greater than 4000 which can be formed with the digits 0,1, 2,3, 4 (repetition of digits is allowed) are
Choices
Choice (4)  Response  

a.  350  
b.  576  
c.  450  
d.  375 
Question number: 14
Question
A focus of an ellipse is at the origin. The directrix is the line and the eccentricity is . then the length of the semimajor axis is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 15
» Sets, Relations and Functions
Question
If A, B, C are nonempty sets and
Choices
Choice (4)  Response  

a.  A = B but A≠C  
b.  A = C but B≠C  
c.  A, B, C may be disjoint set also  
d.  A = B=C 
Question number: 16
Question
The foci of the ellipse and the hyperbola coincide. Then the value of
Choices
Choice (4)  Response  

a.  7  
b.  5  
c.  1  
d.  9 
Question number: 17
Question
In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
