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Q1:

Choose correct option for a stable system :
  1. Roots of the characteristic equation of the system are real and negative
  2. Area within the impulse response is finite

A I is true, II is true

B I is true, II is false

C I is false, II is true

D I is false, II is false

ANS:A - I is true, II is true

From Statement 1: Roots of the characteristics equation of the system are real and negative i.e. the poles are on the left half plane. Hence the system is stable. From Statement 2: Area within the impulse response is finite i.e. it is finite duration signal. It produces a bounded output. Hence system is stable. So both the statements are true.



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