NEST (National Entrance Screening Test) Mathematics: Questions 8  14 of 50
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Question number: 8
» Limits & Continuity » Continuity
Question
Let . if be continuous for all then is equal to
Choices
Choice (4)  Response  

a.  7 

b. 


c. 


d.  None of the above 

Question number: 9
» Basic Mathematics » Algebra » Solving Equations
Appeared in Year: 2016
Question
Let positive real numbers be such that. The maximum value of is
Choices
Choice (4)  Response  

a.  128 

b.  432 

c.  216 

d.  4 

Question number: 10
» Differential Calculus » Geometric Interpretation of Derivative » Tangents
Question
The slope of tangent to the curve at the point is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 11
» Trigonometry » Trigonometric Functions
Question
Let Then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 12
» Limits & Continuity » Algebra of Functions
Question
If then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 13
» Differential Calculus » Increasing and Decreasing Functions
Question
Let , where p is a constant then, is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Independent of 

Question number: 14
» Limits & Continuity » Continuity
Question
is equal to , where
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

