IMO Mathematics Olympiad Class 10: Questions 441  444 of 699
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Question number: 441
Question
The two opposite vertices of a square are , so the coordinates of the other two vertices are ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 442
Question
Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?
Choices
Choice (4)  Response  

a.  7: 2  
b. 
 
c.  3: 2  
d.  2: 3 
Question number: 443
Question
If occur with frequencies respectively, then the arithmetic mean is ________
Choices
Choice (4)  Response  

a.  34.26  
b.  26.34  
c.  62.43  
d.  43.62 
Question number: 444
» Triangle, Circle & Constructions
Question
Given below are the steps of construction of a pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. find which of the following step is wrong?

Step I: Take a point O on the plane paper and draw a circle of radius . Also, draw a concentric circle of radius .

Step II: Find the midpoint A of OB and draw a circle of radius . Suppose this circle intersects the circle of radius 4 cm at P and Q.

Step III: Join BP and BQ to get the desired tangents.
Choices
Choice (4)  Response  

a.  (2) and (3)  
b.  (1) and (2)  
c.  Only (2)  
d.  Only (1) 