IMO Mathematics Olympiad Class 10: Questions 813  817 of 958
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Question number: 813
Question
The areas of two concentric circles are and respectively. The width of the ring is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 814
» Triangle, Circle & Constructions
Question
In a plane 2 lines and a circle are given. If points intersection of two lines or that of a line with the circle are counted, the maximum number of points intersections possible in this is________
Choices
Choice (4)  Response  

a.  5 

b.  6 

c.  10 

d.  8 

Question number: 815
Question
The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?
Choices
Choice (4)  Response  

a.  100 

b.  243 

c.  124 

d.  110 

Question number: 816
Question
The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?
Choices
Choice (4)  Response  

a.  200 

b.  280 

c.  243 

d.  250 

Question number: 817
» Triangle, Circle & Constructions
Question
Let ABC be a right triangle in which . BD is the perpendicular from B on AC. The circle through B, C, and D is drawn from A to this circle. Given below are the steps of constructions of a pair of tangents. Find out the wrong step.

Step I: Draw and perpendicular BD from B on AC.

Step II: Draw a circle with BC as a diameter. This circle will pass through D.

Step III: Let O be the midpoint of BC. Join AO.

Step IV: Draw a circle with AO as diameter. This circle cuts the circle drawn in step II B at P. joins AO, AP and AB are desired tangents. Drawn from A to the circle passing through B, C and D.
Choices
Choice (4)  Response  

a.  Only 2 

b.  Only 3 

c.  Only 4 

d.  Only 1 
