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  1. 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

  2. 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

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    Answer : Option A

    Explanation :

    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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