IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 473  479 of 968
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Question number: 473
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: 474
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.  3  
b.  2  
c.  4  
d.  None of the above 
Question number: 475
» Triangle, Circle & Constructions
Question
In an equilateral triangle PQR, This side QR is trisected at S, then ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 476
» Triangle, Circle & Constructions
Question
In the given figure, if and , then ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 477
Question
Find the area of the quadrilateral, the coordinates of whose angular points taken in order are .
Choices
Choice (4)  Response  

a.  8  
b.  7  
c.  14  
d.  11 
Question number: 478
Question
Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 3 is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 479
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. 
