Triangles and Circles [IMO Level 2 Mathematics Olympiad (SOF) Class 9]: Questions 1  4 of 6
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Question number: 1
» Triangles and Circles
Question
In a triangle ABC, O is the centre of in circle PQR, ∠BAC = 65°, ∠BCA = 75°, find ∠ROQ.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  Can’t be determined  
d.  Both b. and a. are correct 
Question number: 2
» Triangles and Circles
Question
In the given figure, O is the centre of the circle and XOY is a diameter. If XZ is any other chord of the circle, then which of the following is correct?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Triangles and Circles
Appeared in Year: 2014
Question
PS and QT are the medians of and . If cm, find the value of RU.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Triangles and Circles
Appeared in Year: 2014
Question
Fill in the blanks.
A circle is the collection of all points in a plane which are P from a fixed point in the plane. The fixed point is called Q of the circle and fixed distance is called R of the circle. A circle divides the plane on which it lies into S parts.
Choices
Choice (4)  Response  

a.  P Equidistant, Q centre, R radius, S three  
b.  P Normal, Q radius, R centre, S four  
c.  P Equal, Q radius, R centre, S two  
d.  P Distance, Q centre, R radius, S two 