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Q#1
Stability
GATE EC 2025
MCQ
+2 marks
-0.66 marks
Consider the polynomial
. Let 
be defined as follows.
is the number of roots of 
with negative real parts.
is the number of roots of that are purely imaginary.
is the number of roots of with positive real parts.
Which one of the following options is correct?
, and 
, and 
, and 
, and
Explanation:
Routh Hurwitz criteria,
No. of sign change in 
column of RH table 
.
Auxiliary equation: 
Imaginary Poles
and 
Hence, option (a) is correct.
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