Time Left - 15:00 mins

# GATE 2022 : Engineering Mathematics -Complex Variables - 2

Attempt now to get your rank among 221 students!

Question 1

The value of integral where c is the circle , will be

Question 2

Given an analytic function f(z) = ϕ(x, y) + i(x, y).

Where ϕ(x, y) =x

Where ϕ(x, y) =x

^{2}+4x–y^{2}+2y. If c is a constant, which of the following relation is true?Question 3

The value of integral where C is the circle |z| = 1, will be_________.

Question 4

Consider the complex valued function where z is a complex variable. The value of b for which the function f(z) is analytic is

Question 5

Which one of the following functions is analytic over the entire complex plane?

Question 6

where C is circle |z| = 1.5

- 221 attempts
- 2 upvotes
- 2 comments

Jun 24ESE & GATE EC

Posted by: