NEST (National Entrance Screening Test) Mathematics: Questions 34  40 of 50
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Question number: 34
» Limits & Continuity » Algebra of Functions
Question
If , then is
Choices
Choice (4)  Response  

a.  1 

b.  3 

c.  0 

d. 


Question number: 35
» Binomial Theorem » Binomial Coefficents
Appeared in Year: 2016
Question
The number of terms that are integers in the binomial expansion of is
Choices
Choice (4)  Response  

a.  5 

b.  6 

c.  4 

d.  7 

Question number: 36
» Coordinate Geometry » Distance of a Point from a Line
Question
The distance of the plane from the origin is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 37
» Limits & Continuity » Algebra of Functions
Appeared in Year: 2017
Question
Let be a function defined as
then is
Choices
Choice (4)  Response  

a.  Discontinuous at only 

b.  Continuous at all real number 

c.  Discontinuous at only 

d.  Continuous at all points in the domain 

Question number: 38
» Limits & Continuity » Real Valued Functions
Question
If
Choices
Choice (4)  Response  

a.  is discontinuous at 

b.  is continuous at 

c. 


d.  Question does not provide sufficient data or is vague 

Question number: 39
» Binomial Theorem » Binomial Coefficents
Question
In the expansion of the sum of 5^{th} and the 6^{th} term is zero, than is equal to
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 40
» Limits & Continuity » Continuity
Question
Let be any function. Define by for all . Then is
Choices
Choice (4)  Response  

a.  Onto is f is onto 

b.  Oneone is f is oneone 

c.  Continuous is f is continuous 

d.  Differentiable is f is differentiable 
