Coordinate Geometry (IMO Mathematics Olympiad (SOF) Class 10): Questions 43  49 of 86
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Question number: 43
» Coordinate Geometry
Question
If the centroid of the triangle formed by the points is at the origin, then
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d. 


Question number: 44
» Coordinate Geometry
Question
Find the area of the triangle whose vertices are and
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Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 45
» Coordinate Geometry
Question
In a , coordinates of J are and the equations of the medians through K and L is and respectively, so the coordinates of K and L are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 46
» Coordinate Geometry
Question
The coordinates of the third vertex of an equilateral triangle whose two vertices are at are ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 47
» 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: 48
» Coordinate Geometry
Question
Area of quadrilateral formed by the vertices is ________
Choices
Choice (4)  Response  

a.  289 sq. units 

b.  196 sq. units 

c.  310 sq. units 

d.  206 sq. units 

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. 

