Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 41  45 of 57
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Question number: 41
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
Let be real numbers such that,
For every natural number . Then is equal to – (Model Paper)
Choices
Choice (4)  Response  

a.  3 

b.  15 

c.  7 

d.  12 

Question number: 42
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
An ellipse inscribed in a semi – circle touches the circular are at two distinct points and also touches the bounding diameter. Its major axis is parallel to the bounding diameter. When the ellipse has the maximum possible area, its eccentricity is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 43
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
The vertices of the base of an isosceles triangle lie on a parabola and the base is a part of the line . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 44
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
Let be a triangle such that . Let be the midpoint of and be a point on such that is perpendicular to . If then the ratio equals:
Choices
Choice (4)  Response  

a.  1 

b. 


c. 


d. 


Question number: 45
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Appeared in Year: 2015
Question
Suppose is a hexagon such that and . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

