Question

The roots of the odd and even parts of a Hurwitz polynomial P (s) lie on ____________

(a) right half of s plane

(b) left half of s-plane

(c) on jω axis

(d) on σ axis

The question was asked during a job interview.

This interesting question is from Hurwitz Polynomials topic in division Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct option is (c) on jω axis

The explanation: The roots of the odd and even parts of a Hurwitz polynomial P (s) lie on jω axis not on right half of s plane or on left half of s-plane.