Triangles and Circles (IMO Mathematics Olympiad (SOF) Class 9): Questions 28  33 of 79
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 919 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
Question number: 28
» Triangles and Circles
Question
The area of trapezium ABCD is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 29
» Triangles and Circles
Question
Centroid of a triangle is the point of concurrency of its ________
Choices
Choice (4)  Response  

a.  Angle 

b.  Perpendicular bisectors 

c.  Medians 

d.  Triangle 

Question number: 30
» Triangles and Circles
Question
In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if , and , if then the length of MK is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 31
» Triangles and Circles
Question
The locus of a point equidistant from the three vertices of a triangle is ________
Choices
Choice (4)  Response  

a.  Incenter 

b.  Centroid 

c.  Orthocenter 

d.  Circumcenter 

Question number: 32
» Triangles and Circles
Question
If all medians of a triangle are equal, then the triangle is ________
Choices
Choice (4)  Response  

a.  Isosceles triangle 

b.  Right angle triangle 

c.  Equilateral triangle 

d.  Scalene triangle 

Question number: 33
» Triangles and Circles
Question
Triangle AXY is formed by three tangents to circle with center Z and, then angle XYZ equals ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

