Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 14  20 of 23
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Question number: 14
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2012
Question
Let a, b, c be positive integers such that is a rational number, then which of the following is always an integer?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 15
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2014
Question
Let R be the set of all real numbers and let f be a function from R to R such that
for all x ∈ R. Then is equal to
Choices
Choice (4)  Response  

a.  2 

b.  4 

c.  2 

d.  0 

Question number: 16
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2015
Question
Two distinct polynomials f (x) and g (x) are defined as follows:
If the equations f (x) = 0 and g (x) = 0 have a common root then the sum of roots of the equation is
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d.  1 

Question number: 17
» Sets, Relations and Functions » Functions and Composition
Question
Let f (x) be a quadratic polynomial with and . Then the coefficient of x in f (x) is,
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  1 

d.  4 

Question number: 18
» Sets, Relations and Functions » Functions and Composition
Question
Let f (x) be a quadratic polynomial with and . Then the coefficient of x in f (x) is,
Choices
Choice (4)  Response  

a.  4 

b.  2 

c.  3 

d.  1 

Question number: 19
» Sets, Relations and Functions » Functions and Composition
Question
If ; than value of is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 20
» Sets, Relations and Functions » Types of Relations
Question
Which of the following statements are true –
(i) If then
(ii) If then
(iii) If then
(iv) If then
Select the correct option from given above:
Choices
Choice (4)  Response  

a.  (i) & (ii) are correct 

b.  (i), (ii) & (iii) are correct 

c.  (ii) & (iii) are correct 

d.  (i) & (iv) are correct 
