Loading...

Loading, please wait...

Back to Topics

Engineering Mathematics
Complex Functions

Practice questions from Complex Functions.

9
Total
0
Attempted
0%
0
Correct
0%
0
Incorrect
0%
Q#1 Complex Functions GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

Which of the following complex functions is/are analytic on the complex plane?

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#2 Complex Functions GATE EE 2021 (Set 1) MCQ +1 mark -0.33 marks

Let , where  is a complex number. Which one of the following is true?        

The complex roots of the equation  come in conjugate pairs.

All the roots cannot be real.

The sum of the roots of  is real number

Conjugate  conjugate  for all

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#3 Complex Functions GATE EE 2019 (Set 1) MCQ +1 mark -0.33 marks

Which one of the following functions is analytic in the region ?

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#4 Complex Functions GATE EE 2017 (Set 1) MCQ +1 mark -0.33 marks

For a complex number  

–2i

–i

I

2i

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#5 Complex Functions GATE EE 2016 (Set 2) MCQ +1 mark -0.33 marks

Consider the function  where z is a complex variable and  denotes it complex conjugate. Which one of the following is TRUE?

f(z) is both continuous and analytic

f(z) is continuous but not analytic

(z) is not continuous but is analytic

f(z) is neither continuous nor analytic

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#6 Complex Functions GATE EE 2014 (Set 2) MCQ +1 mark -0.33 marks

All the values of the  multi – valued complex function , where , are

purely imaginary

real and non – negative

on the unit circle

equal in real and imaginary parts.

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#7 Complex Functions GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

Square roots of –i, where            

i, –i

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#8 Complex Functions GATE EE 2012 (Set 1) MCQ +1 mark -0.33 marks

If , then the value of  is        

x

1

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock
Q#9 Complex Functions GATE EE 2011 (Set 1) MCQ +1 mark -0.33 marks

A point z has been plotted in the complex plane, as shown in figure below.

18.jpg

The plot of the complex number  is

19.jpg

20.jpg

21.jpg

22.jpg

Sign in to see the solution

Log in to view the explanation, track your attempts, and keep your progress.

Sign in to Unlock