Subjects
Applied Mathematics for Electrical Engineering - 3130908
Complex Variables and Partial Differential Equations - 3130005
Engineering Graphics and Design - 3110013
Basic Electronics - 3110016
Mathematics-II - 3110015
Basic Civil Engineering - 3110004
Physics Group - II - 3110018
Basic Electrical Engineering - 3110005
Basic Mechanical Engineering - 3110006
Programming for Problem Solving - 3110003
Physics Group - I - 3110011
Mathematics-I - 3110014
English - 3110002
Environmental Science - 3110007
Software Engineering - 2160701
Data Structure - 2130702
Database Management Systems - 2130703
Operating System - 2140702
Advanced Java - 2160707
Compiler Design - 2170701
Data Mining And Business Intelligence - 2170715
Information And Network Security - 2170709
Mobile Computing And Wireless Communication - 2170710
Theory Of Computation - 2160704
Semester
Semester - 1
Semester - 2
Semester - 3
Semester - 4
Semester - 5
Semester - 6
Semester - 7
Semester - 8
Complex Variables and Partial Differential Equations
(3130005)
CVPDE-3130005
Summer-2020
Question-2b
BE | Semester-
3
Summer-2020
|
27-10-2020
Q2) (b)
4 Marks
Determine the Mobius transformation which maps
z
=
∞
,
i
,
0
into
w
=
0
,
i
,
∞
.
Here,
z
1
=
∞
,
z
2
=
i
,
z
3
=
0
;
w
1
=
0
,
w
2
=
i
,
w
3
=
∞
.
The cross ratio,
w
-
w
1
w
2
-
w
3
w
-
w
3
w
2
-
w
1
=
z
-
z
1
z
2
-
z
3
z
-
z
3
z
2
-
z
1
⇒
lim
w
3
→
∞
w
-
0
i
-
w
3
w
-
w
3
i
-
0
=
lim
z
1
→
∞
z
-
z
1
i
-
0
z
-
0
i
-
z
1
⇒
lim
w
3
→
∞
ww
3
i
w
3
-
1
iw
3
w
w
3
-
1
=
lim
z
1
→
∞
iz
1
z
z
1
-
1
zz
1
i
z
1
-
1
⇒
w
0
-
1
i
0
-
1
=
i
0
-
1
z
0
-
1
⇒
w
=
i
2
z
⇒
w
=
-
1
z
Questions
Go to Question Paper
Q1
(a)
Q1
(b)
Q1
(c ( i ))
Q1
(c ( ii ))
Q2
(a)
Q2
(b)
Q2
(c(i))
Q2
(c(ii))
Q2
(c( i ))
(OR)
Q2
(c ( ii ))
(OR)
Q3
(a)
Q3
(b)
Q3
(c)
Q3
(a)
(OR)
Q3
(b)
(OR)
Q3
(c)
(OR)
Q4
(a)
Q4
(b)
Q4
(c ( i ))
Q4
(c ( ii ))
Q4
(a)
(OR)
Q4
(b)
(OR)
Q4
(c ( i ))
(OR)
Q4
(c ( ii ))
(OR)
Q5
(a)
Q5
(b)
Q5
(c)
Q5
(a)
(OR)
Q5
(b)
(OR)
Q5
(c)
(OR)