Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 15  18 of 24
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Question number: 15
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
Let and let , be circles with radii respectively. Assume that and touch externally for . It is also given that the axis and the line are tangential to each of the circles. Then are in –
Choices
Choice (4)  Response  

a.  An arithmetic progression with common difference 

b.  An arithmetic progression with common difference 

c.  A geometric progression with common ratio 

d.  A geometric progression with common ratio 

Question number: 16
» 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: 17
» 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: 18
» 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. 

