KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 126  129 of 172
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Question number: 126
» Coordinate Geometry » Distance Formula
Appeared in Year: 2013
Question
Consider a triangle PQR in the with vertices and . The line intersect line QR and line PR at point M and point N, respectively, such that the area of triangle PQR is of area of triangle MNR. Therefore value of is – (Model Paper)
Choices
Choice (4)  Response  

a. 


b.  4 

c.  3 

d. 


Question number: 127
» Limits & Continuity » Limits
Appeared in Year: 2013
Question
Let be a function such that
Then which of the following is false? (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 128
» 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: 129
» 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. 

