Triangles and Circles (IMO Mathematics Olympiad Class 9): Questions 1  4 of 79
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Question number: 1
» Triangles and Circles
Question
In the adjoining figure, circles with centres at L, M and N each have a radius of 2 units and are placed as shown here. If PQRS is the smallest rectangle that will enclose the 3 circles, what is the area of PQRS?
Choices
Choice (4)  Response  

a.  16 sq. units  
b.  12 sq. units  
c.  8 sq. units  
d.  32 sq. units 
Question number: 2
» Triangles and Circles
Question
ABCD is a trapezium, in which and E & F are points on AD & BC respectively. BD is joined. If , , and , then values of x and y are ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Triangles and Circles
Question
If a right triangle has sides of length 1 and , which of the following could be the length of the remaining side?

1


Choices
Choice (4)  Response  

a.  2 Only  
b.  1 And 3 Only  
c.  1 Only  
d.  3 Only 
Question number: 4
» Triangles and Circles
Question
In and , , are extended to X and Y respectively and . Under which congruency criterion, the triangles are congruent?
Choices
Choice (4)  Response  

a.  SAS  
b.  SAA  
c.  SSA  
d.  SSS 