Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 17  22 of 23
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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 

Question number: 21
» Sets, Relations and Functions » Functions and Composition
Question
How many positive real numbers x satisfy the equation,
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  4 

d.  6 

Question number: 22
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2016
Question
Let be non – empty subsets of satisfying the following conditions:
(i) the numbers are distinct;
(ii) are pairwise disjoint.
(Here denotes the number of elements in the set . )
Then the maximum possible value of is –
Choices
Choice (4)  Response  

a.  13 

b.  16 

c.  15 

d.  14 
