KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 65  70 of 172
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Question number: 65
» Coordinate Geometry » Conic Sections
Appeared in Year: 2012
Question
Consider the conic. Suppose P is any point on the conic and S_{1}, S_{2} are the foci of the conic, then the maximum value of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 66
» 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: 67
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
The midpoint of the domain of the function for real x is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 68
» Statistics and Probability » Probability of an Event
Appeared in Year: 2012
Question
A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that is a copper coin –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 69
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2012
Question
Let and. A subset B of A is said to be a good subset if for every. Then the number of good subsets of A is –
Choices
Choice (4)  Response  

a. 


b. 


c.  1 

d. 


Question number: 70
» Integral Calculus » Evaluation of Simple Integrals
Appeared in Year: 2012
Question
The value is
Choices
Choice (4)  Response  

a.  4024 

b.  0 

c.  2012 

d.  2013 
