EC GATE 2022 Question 45: Range of K for Polynomial Roots on Imaginary Axis | Examprev

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EC > GATE 2022 > Stability Analysis

Consider an even polynomial p(s) given by
p(s) = s⁴ + 5s² + 4 + K,
where K is an unknown real parameter. The complete range of K for which p(s) has all its roots on the imaginary axis is ________.

A

−4 ≤ K ≤ 9/4

B

−3 ≤ K ≤ 9/2

C

−6 ≤ K ≤ 5/4

D

−5 ≤ K ≤ 0

Correct : a

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