Question

For real roots of sk, all the quotients of s in s^2+ωk^2 of the polynomial P (s) are __________ (a) negative (b) non-negative (c) positive (d) non-positive This question was addressed to me by my school teacher while I was bunking the class. This intriguing question comes from Hurwitz Polynomials in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Correct choice is (b) non-negative To elaborate: For real roots of sk, all the quotients of s in s^2+ωk^2 of the polynomial P (s) are non-negative. So by multiplying all factors in P(s) we find that all quotients are positive.