NEST (National Entrance Screening Test) Mathematics: Questions 18  26 of 50
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Question number: 18
» Matrices and Determinants » Adjoint and Evaluation of Inverse of Square Matrix
Appeared in Year: 2017
Question
If are the roots of then the determinant is equal to
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 19
» Differential Calculus » Algebra of Functions
Appeared in Year: 2017
Question
Let be an odd function and suppose for all . Then
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 20
» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers
Appeared in Year: 2017
Question
Let be the set of all complex numbers, let Then
Choices
Choice (4)  Response  

a. 
 
b.  is proper subset of  
c.  is the empty set  
d.  is proper subset of 
Question number: 21
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Question
Let to two universal set and is equal to
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 22
» Limits & Continuity » Limits
Question
is equal to
Choices
Choice (4)  Response  

a.  Does not exist  
b.  ∞  
c.  0  
d.  None of the above 
Question number: 23
» Matrices and Determinants » Adjoint and Evaluation of Inverse of Square Matrix
Appeared in Year: 2016
Question
Let be a matrix with real entries. Let is the transpose of be the identity matrix of order then
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 24
» Limits & Continuity » Rational Functions
Question
Let if the function be continuous at then, as equal to
Choices
Choice (4)  Response  

a.  2  
b.  0  
c. 
 
d.  1 
Question number: 25
» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers
Question
If are the cube root of unity, then is equal to
Choices
Choice (4)  Response  

a.  0  
b. 
 
c.  1  
d. 

Question number: 26
» Limits & Continuity » Real Valued Functions
Question
The value of is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 