IMO Mathematics Olympiad (SOF) Class 10: Questions 747  749 of 958
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Question number: 747
» Triangle, Circle & Constructions
Question
In the figure, and intersect at M. then________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Both a. and c. are correct 

Question number: 748
Question
If the radii of the circular ends of a conical bucket are and and the height is the capacity of the bucket is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 749
» Triangle, Circle & Constructions
Question
Give below are the steps of construction of (without using the center of the circle radius) two tangents to the circle from point A.

Step I: Draw a line segment Take a point A outside the circle and draw a secant ACD, intersecting the circle at C and D.

Step II: Produce to to B such that draw a semicircle with BD as diameter.

Step III: Draw intersecting the semicircle at E. with A as center and BA as radius draw arcs to intersect the given circle at S and S’.

Step IV: Join AS and AS’. Then, AS and AS’ are the required tangents.
Choices
Choice (4)  Response  

a.  4 

b.  1 

c.  2 

d.  3 
