NEST (National Entrance Screening Test) Mathematics: Questions 44  50 of 50
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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. 

Question number: 50
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2016
Question
There are students in a class. It is found that students study Mathematics, students study physics and students study chemistry. Moreover students study mathematics and physics, 15 students study physics and chemistry, 25 students study chemistry and mathematics and 10 students study none of these subjects. Then
Choices
Choice (4)  Response  

a.  Students study at least one of mathematics, physics and chemistry.  
b.  Students study each of Mathematics, physics and chemistry.  
c.  Students study either Mathematics or chemistry.  
d.  Students study Mathematics along with either physics or chemistry. 