Jammu University Question Paper Complex Analysis( Mathematics). Course Code: UMTTE-602

Jammu University Question Paper Complex Analysis( Mathematics). Course Code: UMTTE-602

 

Attempt any 30 Questions

Multiple Choice Questions(MCQ)

 

 

a

b

c

d

a

b

c

d

Q 3. For any complex number z, the maximum value of | z |+| z -1|is

0

1

1/2

3/2

a

b

c

d

Q 5. Which of the following is true:

3+4 i>4+3 i

3+4 i<4+3 i

3+4 i=4+3 i

None of these

a

b

c

d

a) Circle

b) Parabola

c) Straight line

d) Ellipse

a

b

c

d

Q9. The real part of the function sin(x+ i y) is

a) cos x sinh y

b) sin x sinh y

c) cos x cosh y

d) sin x cosh y

Q 10. The equation tan z = z has

a) only imagery roots

b) only real roots

c) both real and imaginary roots

d) None of these

a

b

c

d

a

b

c

d

Q 13. The period of ʄ (z) =cot z is

2π

Π

3π/2

π/2

a

b

c

d

Q 15. Functions satisfying Laplace’s equation are called

a) Regular

b) Holomorphic

c) Conjugate

d) Harmonic

a

b

c

d

a

b

c

d

a) 1

b) 8

c) 0

d) 5

Q 19. Which of the following is true:

|cos z |≤1

|cos z |≥1

Cos z is bounded

None of these

Q 20. If ʄ (z) be analytic within and on a simple contour C, then a point giving the maximum value of |ʄ (z)|can be

a) Within C

b) Outside C

c) On the boundary of C and not within it

d) On the boundary of c or within it

a

b

c

d

Q 22. The square root of -15-8i is

±(2+3 i)

±(4- i)

±(1-4 i)

±(3-4 i)

a

b

c

d

a

b

c

d

a

b

c

d

Q.26. The expression cosh (x+y) – cosh (x-y) is equal to

a) 2sinh x cosh y

b) 2 cosh x cosh y

c) 2 cosh x sinh y

d) 2 sinh x sinh y

a

b

c

d

a

b

c

d

Q.29. A non-constant entire function is

a) Bounded

b) Unbounded

c) Sometimes bounded and sometimes unbounded

d) None of these

a

b

c

d

a

b

c

d

a

b

c

d

a

b

c

d

a

b

c

d

a

b

c

d

a

b

c

d

a

b

c

d

a

b

c

d

Q.39. A sequence with more than one limit point is

a) convergent always

b) may be convergent

c) cannot be convergent

d) None of these

a

b

c

d