IMO Mathematics Olympiad Class 9: Questions 260  265 of 919
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Question number: 260
» Lines, Angles and Quadrilaterals
Question
In the figure, If and , then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 261
Question
The point of concurrency of the angle bisectors of a triangle is called ________.
Choices
Choice (4)  Response  

a.  Incentre 

b.  Orthocentre 

c.  Centroid 

d.  Circumcentre 

Question number: 262
Question
From the adjoining figure, the value of x is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 263
Question
Orthocenter of a triangle is the point of concurrency of its ________
Choices
Choice (4)  Response  

a.  Medians 

b.  Altitudes 

c.  Angle bisectors 

d.  Perpendicular bisectors 

Question number: 264
» Lines, Angles and Quadrilaterals
Question
A triangle and a trapezoid are equal in area. They also have the same altitude. If the base of the triangle is 24 inches, the median of the trapezoid is ________
Choices
Choice (4)  Response  

a.  59 inches 

b.  24 inches 

c.  16 inches 

d.  12 inches 

Question number: 265
Question
A cone and a hemisphere have the same height and same radius of the base. The ratio between the volumes of the cone and the hemisphere is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

