Coordinate Geometry (IMO Mathematics Olympiad Class 10): Questions 49  53 of 81
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Question number: 49
» 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: 50
» Coordinate Geometry
Question
Find the area of the quadrilateral, the coordinates of whose angular points taken in order are .
Choices
Choice (4)  Response  

a.  41  
b.  82  
c.  20.5  
d.  61.5 
Question number: 51
» Coordinate Geometry
Question
The two opposite vertices of a square are , so the coordinates of the other two vertices are ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 52
» Coordinate Geometry
Question
The two opposite vertices of a square are , so the coordinates of the other two vertices are ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 53
» Coordinate Geometry
Question
Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?
Choices
Choice (4)  Response  

a.  7: 2  
b. 
 
c.  3: 2  
d.  2: 3 