Basic MathematicsGeometry (KVPY StreamSA Math): Questions 1  5 of 62
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Question number: 1
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2009
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is
Choices
Choice (4)  Response  

a.  4  
b.  5  
c.  2  
d.  3 
Question number: 2
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
In the figure, AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X. Then the ratio of the areas of triangles AXF and ABF is.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2012
Question
In a triangle ABC, it is known that AB = AC. Suppose D is the midpoint of AC and BD = BC = 2. Then the area of the triangle ABC, is.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  2  
d. 

Question number: 4
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2010
Question
The sides of a triangle ABC are positive integers. The smallest side has length 1. Which of the following statement is true?
Choices
Choice (4)  Response  

a.  The area of ABC is always an irrational number  
b.  The area of ABC is always a rational number  
c.  The information provided is not sufficient to conclude any of the statements A, B or C above  
d.  The perimeter of ABC is an even integer 
Question number: 5
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
On the circle with center O, points A, B are such that OA = AB. A point C is located on the tangent at B to the circle such that A and C are on the opposite sides of the line OB and AB = BC. The line segment AC intersects the circle again at F. Then the ratio ∠BOF: ∠BOC is equal to:
The line segment AC intersects the circle again at F.
Choices
Choice (4)  Response  

a.  1: 2  
b.  4: 5  
c.  2: 3  
d.  3: 4 