IMO Mathematics Olympiad Class 9: Questions 244  248 of 919
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Question number: 244
Question
C1 is a circle of radius 4 cm, C2 is a circle of radius 12 cm. Jyoti wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centers. What are these two distances?
Choices
Choice (4)  Response  

a.  8 cm and 10 cm 

b.  8 cm and 16 cm 

c.  10 cm and 16 cm 

d.  13 cm and 4 cm 

Question number: 245
» Lines, Angles and Quadrilaterals
Question
In the figure, and , then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 246
Question
A rectangular field has its length and breadth in the ratio . Its area is 3.75 hectares. The cost of fencing it at Rs. 5 per meter is ________
Choices
Choice (4)  Response  

a.  Rs. 1000 

b.  Rs. 500 

c.  Rs. 4000 

d.  Rs. 400 

Question number: 247
Question
On plotting the points A (3, 3), B (9, 3), C (12, 10), D (5, 10) and joining AB, BC, CD, DA Which of the following figure is obtained?
Choices
Choice (4)  Response  

a.  Hexagon 

b.  Cross 

c.  Triangle 

d.  Parallelogram 

Question number: 248
Question
The and are right angles. If , and , then the length of QR and QS respectively is ________
Choices
Choice (4)  Response  

a.  15 cm, 12 cm 

b.  16 cm, 15 cm 

c.  25 cm, 12 cm 

d.  15 cm, 16 cm 
