NEST (National Entrance Screening Test) Mathematics: Questions 41  49 of 50
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Question number: 41
» Integral Calculus » Properties of Definite Integrals
Appeared in Year: 2017
Question
The value of the integral is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 42
» Sequence and Series » Geometric Progressions
Appeared in Year: 2017
Question
If for same positive integer we have then is
Choices
Choice (4)  Response  

a.  
b.  
c.  2  
d.  1 
Question number: 43
» Limits & Continuity » Continuity
Question
The value of for which the function is continuous for all , are:
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 44
» Limits & Continuity » Inverse Functions
Question
is greatest inter function, is equal to
Choices
Choice (4)  Response  

a.  2  
b.  Does not exist  
c.  0  
d.  1 
Question number: 45
» Limits & Continuity » Real Valued Functions
Appeared in Year: 2017
Question
Let be two functions such that then
Choices
Choice (4)  Response  

a.  is always onto  
b.  is always oneone  
c.  is always onto  
d.  is always oneone 
Question number: 46
» Coordinate Geometry » Ellipse
Question
For a positive real number k. let be the ellipse with equation where All member of the family of ellipses have the same
Choices
Choice (4)  Response  

a.  Foci  
b.  Eccentricity  
c.  Pair of directrices  
d.  Centre 
Question number: 47
» Limits & Continuity » Continuity
Question
If then which of the following is not correct.
Choices
Choice (4)  Response  

a. 
 
b.  is continuous at  
c. 
 
d.  is discontinuous at 
Question number: 48
» Matrices and Determinants » Determinants and Matrices of Order Two and Three
Appeared in Year: 2017
Question
Let be two matrices. Then the identity is
Choices
Choice (4)  Response  

a.  True is  
b.  True is is the identity matrix  
c.  True is is the zero matrix  
d.  True is 
Question number: 49
» Vector Algebra » Vectors and Scalars
Appeared in Year: 2016
Question
Let be two non –collinear vectors and If then is
Choices
Choice (4)  Response  

a.  
b. 
 
c. 
 
d. 
