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GATE 2024 Control Systems Foundation Quiz 70
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Question 1
If 
, then all the roots of the equation are in the left half of s-plane, provided that
, then all the roots of the equation are in the left half of s-plane, provided that
Question 2
The characteristic equation of a system is 
, the value of ‘k’, such that the characteristic equation has pair of complex conjugate roots, whose real part is –1.5, is ____ [Nearest integer]
, the value of ‘k’, such that the characteristic equation has pair of complex conjugate roots, whose real part is –1.5, is ____ [Nearest integer]Question 3
A system with characteristic polynomial 
is
is
Question 4
The respective number of left hand, right hand and Jω axis roots of the equation 
are _________
are _________
Question 5
The characteristic equation of a system is s(s2 + 6s+ 13) + k = 0, the value of ‘k’, such that the characteristic equation has pair of complex conjugate roots, whose real part is –1, is
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