Sets, Relations and FunctionsFunctions and Composition (KVPY StreamSA (Class 11) Math): Questions 6  11 of 11
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Question number: 6
» 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: 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 