Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 11  14 of 14
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Question number: 11
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2013
Question
Let and . Which of the following statements are true?
(i) Domain of = Domain of
(ii) Domain of = Domain of
(iii) Domain of = Domain of
(iv) Domain of = Domain of
Choices
Choice (4)  Response  

a.  Only (i) and (iv) 

b.  Only (i) 

c.  Only (iii) and (v) 

d.  Only (i) and (ii) 

Question number: 12
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2013
Question
For given two functions,
and .
Which of the following statement are true?
Domain of Domain of
Domain of Domain of
Domain of Domain of
Domain of Domain of (Model Paper)
Choices
Choice (4)  Response  

a.  Only (i) and (iv) 

b.  Only (i) 

c.  Only (i) and (ii) 

d.  Only (iii) and (iv) 

Question number: 13
» Sets, Relations and Functions » Domain, Range
Appeared in Year: 2015
Question
Let ; where, is a real constant. The smallest for which for all is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 14
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2016
Question
Let . The number of elements in is –
Choices
Choice (4)  Response  

a.  0 

b.  Not finite 

c.  4 

d.  2 
