Sets, Relations and FunctionsEquivalence Relations (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  2 of 2
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Question number: 1
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2012
Question
Let n be a natural number and let ‘a’ be a real number. The number of zeros of in the interval [1, 1] is
Choices
Choice (4)  Response  

a.  2 if a < 0 

b.  At least three for every value of a 

c.  2 if a > 0 

d.  At most one for every value of a 

Question number: 2
» 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. 

