Coordinate Geometry (IMO Mathematics Olympiad (SOF) Class 10): Questions 64  69 of 86
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Question number: 64
» Coordinate Geometry
Question
The coordinates of the midpoints of the sides of a triangle are . What will be the coordinates of the centroid of the triangle?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 65
» Coordinate Geometry
Question
The area of a triangle is 5 square units, two of its vertices are. The third vertex lies on . What will be the third vertex?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 66
» Coordinate Geometry
Question
The distance between the points is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 67
» Coordinate Geometry
Question
If are the midpoints of the sides of, the area of the triangle is ________
Choices
Choice (4)  Response  

a.  55 sq. units 

b.  35 sq. units 

c.  29 sq. units 

d.  44 sq. units 

Question number: 68
» Coordinate Geometry
Question
The coordinates of the midpoints of the sides of a triangle are. What will be the coordinates of the centroid of the triangle?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 69
» Coordinate Geometry
Question
The area of triangle formed by the points is 70 units. How many integral values of p are possible?
Choices
Choice (4)  Response  

a.  2 

b.  4 

c.  3 

d.  None of the above 
