Complex Variables and Partial Differential Equations (3140610) MCQs

MCQs of Complex Variable Function and Conformal Mapping

Showing 1 to 10 out of 53 Questions
1.

The principal argument of 12+3i is _____.

(a)

tan-1(1.5)

(b)

tan-1(0.5)

(c)

tan-1(2.5)

(d)

tan-1(3.5)

Answer:

Option (a)

2.

The exponential form of z=3-i is _____.

(a)

2eπ3i

(b)

2e-π3i

(c)

2e-π6i

(d)

2eπ6i

Answer:

Option (c)

3.

One of the value of -1+3 i13 is _____.

(a)

2e2π3i

(b)

2e2π9i

(c)

2e2π7i

(d)

2e2π5i

Answer:

Option (b)

4.

The principal value of sinlog ii is _____.

(a)

0

(b)

1

(c)

-1

(d)

none of these

Answer:

Option (c)

5.

The value of limz03x2+4y2x+y2

(a)

0

(b)

1

(c)

3

(d)

not exist

Answer:

Option (d)

6.

The function fz=x-y2+2ix+y is analytic if y= _____ .

(a)

x-1

(b)

x+1

(c)

x-2

(d)

none of these

Answer:

Option (a)

7.

If u=2x+kx3+3xy2 is harmonic function, then k= _____.

(a)

3

(b)

-1

(c)

2

(d)

1

Answer:

Option (b)

8.

One of the value of (1+i)100 is _____ .

(a)

250 e25πi

(b)

251 e25πi

(c)

250 e50πi

(d)

none of these

Answer:

Option (a)

9.

Let z=x+iy ; x, yR and z-1 < z+1 then _____ .

(a)

Re(z)<0

(b)

Re(z)>0

(c)

Im(z)>0

(d)

Im(z)<0

Answer:

Option (b)

10.

Let z=x+iy ; x, yR . If i+z=i-z , then _____ .

(a)

z is completely real number

(b)

z is purely imaginary number

(c)

Re(z)=0

(d)

none of these

Answer:

Option (a)

Showing 1 to 10 out of 53 Questions