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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