Sets, Relations and FunctionsFunctions and Composition (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 7  12 of 12
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Question number: 7
» 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: 8
» 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: 9
» 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: 10
» Sets, Relations and Functions » Functions and Composition
Question
If ; than value of is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 11
» 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: 12
» 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 
