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Assertion (A): The part of root locus on the real axis is not dependent on the poles and zeros which are not on the real axis.Reason (R): Poles and zeros which are not on the real axis occur in conjug
Assertion (A): In root locus the breakaway and break in points either lie on real axis or occur in complex conjugate pairs.Reason (R): All root locus asymptotes intersect on real axis
Assertion (A): The root locus of a control system is symmetrical about real axis.Reason (R): For all polynomials with real coefficients, complex poles always occur in conjugate pairs
Assertion (A): If Z1(s) and Z2(s) are positive real then Z1(s) + Z2(s) as well as 1/Z1(s) and 1/Z2(s) are positive real.Reason (R): The poles of a positive real function are real or occur in conjugate
Assertion (A): A slight change in pole-zero configuration can cause only minor changes in root locus configuration.Reason (R): Asymptotes show the behaviour of root loci for |s| >> 1
Assertion (A): The closeness of G(jω) locus to (- 1 + j0) point can be used as a measured of margin of stability.Reason (R): When the G(jω) locus comes close to encircling (- 1 + j0) point the syste
For any test point s on the real axis, the sum of angular contributions of the complex conjugate poles is

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