Coordinate Geometry (IMO Mathematics Olympiad Class 10): Questions 38  43 of 81
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Question number: 38
» Coordinate Geometry
Question
The vertices of are . If XP is angle bisector, where P meets on YZ, then coordinates of P are ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 39
» Coordinate Geometry
Question
Points are joined to form a quadrilateral. What will be the structure of quadrilateral?
Choices
Choice (4)  Response  

a.  Square  
b.  Pentagon  
c.  Cross  
d.  Hexagon 
Question number: 40
» Coordinate Geometry
Question
In what ratio is the line segment joining the points is divided by Xaxis?
Choices
Choice (4)  Response  

a.  5: 7  
b.  1: 1  
c.  7: 8  
d.  3: 10 
Question number: 41
» Coordinate Geometry
Question
XYZ is an isosceles triangle. If the coordinates of the base are , then the coordinates of the vertex Z can be
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 42
» Coordinate Geometry
Question
In what ratio is the line segment joining the points is divided by Xaxis?
Choices
Choice (4)  Response  

a.  6: 7  
b.  7: 6  
c.  3: 1  
d.  1: 3 
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. 
