Triangle, Circle & Constructions (IMO Mathematics Olympiad Class 10): Questions 13  16 of 64
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Question number: 13
» Triangle, Circle & Constructions
Question
In the figure, is isosceles. Then ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 14
» Triangle, Circle & Constructions
Question
In the adjacent figure, QP and QR are produced to meet RS and PS produced in T and U. then is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 15
» Triangle, Circle & Constructions
Question
AB is a line segment is a point on AB. ACPQ and CBRS are squares drawn on the same side AB,
Choices
Choice (4)  Response  

a.  C is the orthocenter of the triangle APB. 

b.  P is the orthocenter of the triangle APB. 

c.  M is the orthocenter of the triangle APB. 

d.  S is the orthocenter of the triangle APB. 

Question number: 16
» Triangle, Circle & Constructions
Question
ABC and DBC are two equilateral triangles on the same base BC. A point P is taken on the circle with Centre D, radius BD. Show that PA, PB, PC are the sides of a right triangle
Choices
Choice (4)  Response  

a.  PA, PB, PC are the sides of a obtuse triangle 

b.  PA, PB, PC are the sides of a right triangle 

c.  PA, PB, PC are the sides of a acute triangle 

d.  PA, PB, PC are the sides running along circle 
