Triangle, Circle & Constructions (IMO Level 1 Mathematics Olympiad (SOF) Class 10): Questions 6  8 of 64
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Question number: 6
» Triangle, Circle & Constructions
Question
Given below are the steps of construction of a pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. find which of the following step is wrong?

Step I: Take a point O on the plane paper and draw a circle of radius . Also, draw a concentric circle of radius .

Step II: Find the midpoint A of OB and draw a circle of radius . Suppose this circle intersects the circle of radius 4 cm at P and Q.

Step III: Join BP and BQ to get the desired tangents.
Choices
Choice (4)  Response  

a.  (1) and (2) 

b.  Only (2) 

c.  Only (1) 

d.  (2) and (3) 

Question number: 7
» Triangle, Circle & Constructions
Question
is an isosceles triangle in which . Side RS is produced to P such that . Then equals ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 8
» Triangle, Circle & Constructions
Question
In an isosceles triangle ABC, is bisected by AD where D lies on BC. It is found that . Then equals ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

