IMO Mathematics Olympiad Class 9: Questions 449  454 of 919
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Question number: 449
Question
The locus of a point equidistant from the three sides of a triangle is ________
Choices
Choice (4)  Response  

a.  Circumcenter 

b.  Centroid 

c.  Incenter 

d.  Orthocenter 

Question number: 450
Question
The distance between the points P (4, 3) and Q (5, 6) is calculated as
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 451
Question
The and are right angles. If , and , then the length of XZ is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 452
Question
If the point (5, 7) lies on the graph of the equation , find the value of a.
Choices
Choice (4)  Response  

a.  7 

b.  9 

c.  6 

d.  8 

Question number: 453
Question
A rectangular field has its length and breadth in the ratio . Its area is 0.9 hectares. The cost of fencing it at RS. 10 per meter is ________
Choices
Choice (4)  Response  

a.  Rs. 6200 

b.  Rs. 7400 

c.  Rs. 4200 

d.  Rs. 5200 

Question number: 454
Question
In the figure , and . Then x equals ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

