Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 6  9 of 24
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Question number: 6
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
The angle α, β, γ of a triangle satisfy the equation and . Then angle γ equals –
Choices
Choice (4)  Response  

a.  60^{0} 

b.  120^{0} 

c.  150^{0} 

d.  30^{0} 

Question number: 7
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2012
Question
Suppose two perpendicular tangents can be drawn from the origin to the circle for some real p. Then is equal to –
Choices
Choice (4)  Response  

a.  17 

b.  5 

c.  3 

d.  0 

Question number: 8
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Let be the diameter of a semicircle with centre . Let A be a variable point on the semicircle and B another point on the semicircle such that is parallel to . The value of for which the inradius of triangle is maximum, is – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 9
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Appeared in Year: 2013
Question
Let be a closed polygon with sides and vertices (assume that the sides do not intersect except at the vertices). Let be the number of interior angles of P that are greater than . The maximum possible value of is – (Model Paper)
Choices
Choice (4)  Response  

a.  9 

b.  3 

c.  7 

d.  5 
