Mathematical Physics (GATE Physics): Questions 10  15 of 39
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Question number: 10
» Mathematical Physics » Elements of Complex Analysis » CauchyRiemann Conditions
Appeared in Year: 2014
Question
The length element of an arc is given by, . The metric tensor is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 11
» Mathematical Physics » Linear Differential Equations
Appeared in Year: 2015
Question
If and , then –
Choices
Choice (4)  Response  

a.  is differentiable everywhere but is not  
b.  and are differentiable everywhere  
c.  is differentiable everywhere but is not  
d.  is discontinuous at 
Question number: 12
» Mathematical Physics » Elements of Complex Analysis » CauchyRiemann Conditions
Appeared in Year: 2016
Question
Which of the following is an analytic function of everywhere in the complex plane?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 13
» Mathematical Physics » Linear Differential Equations
Appeared in Year: 2016
Question
Consider the linear differential equation . If at then the value of at is given by,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 14
» Mathematical Physics » Matrices
Appeared in Year: 2012
Question
The eigen values of the matrix are –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 15
» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness
Appeared in Year: 2012
Question
Identify the correct statement for the vectors and
Choices
Choice (4)  Response  

a.  The vectors and linearly dependent  
b.  The vectors and are orthogonal  
c.  The vectors and are normalized  
d.  The vectors and are linearly independent 