Coordinate Geometry (IMO Mathematics Olympiad Class 10): Questions 60  65 of 81
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Question number: 60
» 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. 
 
b.  3: 1  
c.  2: 1  
d.  3: 4 
Question number: 61
» Coordinate Geometry
Question
Points are joined to form a quadrilateral. What will be the structure of quadrilateral?
Choices
Choice (4)  Response  

a.  Parallelogram  
b.  Rectangle  
c.  Square  
d.  Rhombus 
Question number: 62
» Coordinate Geometry
Question
If are the midpoints of the sides of , the area of the triangle is ________
Choices
Choice (4)  Response  

a.  96 sq. units  
b.  24 sq. units  
c.  48 sq. units  
d.  50 sq. units 
Question number: 63
» Coordinate Geometry
Question
If are the vertices of a right angle triangle, right angle at P, then a is ________
Choices
Choice (4)  Response  

a.  3  
b.  4  
c.  2  
d.  1 
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. 
