Discussion
Assertion (A) : The roots of the denominator of a network function decide its stability.
Reason (R) : The poles on real axis determine the damping factor of the system.
Answer: A
Both statements are true and the reason explains the assertion (option A). The poles of a network function are the roots of its denominator, and a system is stable when they all have negative real parts, so the roots decide stability.
The real part of the poles is the damping factor of the response, and a pole on the real axis gives a purely decaying exponential term, so the position of the poles also fixes the damping. Options B, C and D deny one of these links.
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