NEST (National Entrance Screening Test) Mathematics: Questions 9  17 of 50
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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. 

Question number: 15
» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers
Appeared in Year: 2016
Question
The real and imaginary part of the complex number and where are
Choices
Choice (4)  Response  

a.  Respectively  
b.  Respectively  
c.  Respectively  
d.  Respectively 
Question number: 16
» Limits & Continuity » Real Valued Functions
Question
The value of
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 
Question number: 17
» Limits & Continuity » Real Valued Functions
Appeared in Year: 2016
Question
Let a function be defined as follows.
Where are real numbers with then
Choices
Choice (4)  Response  

a.  There is exactly one value of which makes a continuous function  
b.  The continuity of depends on the values of both  
c.  is continuity of is and only is  
d.  is not differentiable at exactly one point in its domain. 