Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 10  12 of 14
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Question number: 10
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2012
Question
Let f: R ⟶ R be the function with. Then if and only if –
Choices
Choice (4)  Response  

a.  are all positive and distinct 

b.  are all distinct 

c.  At least two of are equal 

d. 


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) 
