Question:

Choose the correct combination of the following: (a) At break-away point the root locus breaks from real axis into complex plane
(b) At break-away point the root locus breaks from imaginary axis into complex plane
(c) At break-in point the root locus enters the real axis from the complex plane
(d) At break-in point the root locus enters the imaginary axis from the complex plane

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Break-away: real axis → complex plane; Break-in: complex plane → real axis.
Updated On: May 23, 2025
  • (a), (b), and (c) are true
  • (b) and (c) are true
  • (b) and (d) are true
  • (a) and (d) are true
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The Correct Option is B

Solution and Explanation

In root locus theory:
- A break-away point is where multiple roots on the real axis split and enter into complex conjugate pairs.
- A break-in point is where complex conjugate roots re-enter the real axis.
Hence, options (b) and (c) are correct.
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