Hurwitz Polynomials MCQ

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• For the complex zeros to appear in conjugate pairs the poles of the network function are ____ and zeros of the network function are ____________
  ক

  complex, complex

  খ

  complex, real

  গ

  real, real

  ঘ

  real, complex
• The real parts of the driving point function Z (s) and Y (s) are?
  ক

  positive and zero

  খ

  positive

  গ

  zero

  ঘ

  positive or zero
• For real roots of sk, all the quotients of s in s2+ωk2 of the polynomial P (s) are __________
  ক

  negative

  খ

  non-negative

  গ

  positive

  ঘ

  non-positive
• The poles and zeros of driving point impedance function and driving point admittance function lie on?
  ক

  left half of s-plane only

  খ

  right half of s-plane only

  গ

  left half of s-plane or on imaginary axis

  ঘ

  right half of s-plane or on imaginary axis
• When s is real, the driving point impedance function is _________ function and the driving point admittance function is _________ function.
  ক

  real, complex

  খ

  real, real

  গ

  complex, real

  ঘ

  complex, complex
• Consider the polynomial P(s)=s4+3s2+2. The given polynomial P (s) is Hurwitz.
  ক

  True

  খ

  False
• If the ratio of the polynomial P (s) and its derivative gives a continued fraction expansion with ________ coefficients, then the polynomial P (s) is Hurwitz.
  ক

  all negative

  খ

  all positive

  গ

  positive or negative

  ঘ

  positive and negative
• If the polynomial P (s) is either even or odd, then the roots of P (s) lie on __________
  ক

  on σ axis

  খ

  on jω axis

  গ

  left half of s-plane

  ঘ

  right half of s plane
• The roots of the odd and even parts of a Hurwitz polynomial P (s) lie on ____________
  ক

  right half of s plane

  খ

  left half of s-plane

  গ

  on jω axis

  ঘ

  on σ axis