IMO Mathematics Olympiad (SOF) Class 9: Questions 298  301 of 918
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Question number: 298
Question
In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if , and , if then the length of MK is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 299
Question
In the given figure, PQRS is a square of side 2a with centers P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles. Then the area of the shaded region is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 300
» Linear Equations in Two Variables
Question
ABCD is a parallelogram. The bisectors of and meet BC and AD at X and Y respectively, then XY=
Choices
Choice (4)  Response  

a.  BY 

b.  AY 

c.  AX 

d.  CD 

Question number: 301
Question
The locus of a point equidistant from the three vertices of a triangle is ________
Choices
Choice (4)  Response  

a.  Incenter 

b.  Centroid 

c.  Orthocenter 

d.  Circumcenter 
