Triangles and Circles (IMO Mathematics Olympiad (SOF) Class 9): Questions 44  47 of 79
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Question number: 44
» Triangles and Circles
Question
In triangle ABC, the altitude from A to BC meets BC at D, and the altitude from B to CA meets AD at H. if , and , if then the length of HD is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 45
» Triangles and Circles
Question
A1 is a circle of radius 8 cm, A2 is a circle of radius 12 cm. Shivangi wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances?
Choices
Choice (4)  Response  

a.  5 cm and 19 cm 

b.  4 cm and 20 cm 

c.  16 cm and 8 cm 

d.  12 cm and 4 cm 

Question number: 46
» Triangles and Circles
Question
Triangle PAB is formed by three tangents to circle with center O and, then angle AOB equals ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 47
» Triangles and Circles
Question
A, B, C and D are four points on a circle. AC and BD intersect at a point E such that and, then angle is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

